Pith Number

pith:4RGGDKYO

pith:2026:4RGGDKYOCEMAKOGI57WD3D2EB7

not attested not anchored not stored refs resolved

Pseudo-Anosov flows and the geometry of Anosov-like group actions

Abdul Zalloum, Kathryn Mann, Neige Paulet, Thomas Barthelm\'e

The action induced by a pseudo-Anosov flow on the orbit space is isometric on a Gromov-hyperbolic space.

arxiv:2605.12837 v1 · 2026-05-13 · math.DS · math.GT

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

the action on its orbit space induced by a pseudo-Anosov flow on a closed 3-manifold (and more general Anosov-like actions) can be seen as an isometric action on a Gromov-hyperbolic space

C2weakest assumption

The flow is pseudo-Anosov or Anosov-like on a closed 3-manifold and the orbit space admits a structure allowing the induced action to be isometric on a Gromov-hyperbolic space

C3one line summary

Pseudo-Anosov flows on 3-manifolds induce isometric actions on Gromov-hyperbolic spaces, with generic elements in the fundamental group for non-R-covered flows.

References

30 extracted · 30 resolved · 0 Pith anchors

[1] D. V. Anosov and G. Sina i . Some smooth ergodic systems. With an appendix by G. A. Margulis . Uspekhi Matematicheskikh Nauk [N. S.] , 22(5(137)):107--172, 1967 1967

[2] Characterization of Anosov flows in dimension 3 by their weak foliations 1995

[3] Actions de groupes sur les 1-vari\'et\'es non s\'epar\'ees et feuilletages de codimension un 1998

[4] [BFM25] Thomas Barthelm´ e, Steven Frankel, and Kathryn Mann 2026

[5] Thomas Barthelm \'e and S \'e rgio R. Fenley. Counting periodic orbits of Anosov flows in free homotopy classes. Commentarii Mathematici Helvetici , 92(4):641--714, 2017 2017

Receipt and verification

First computed	2026-05-18T03:09:12.014956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e44c61ab0e11180538c8efec3d8f440fd272fc001cd3f864bebacdc3221c527c

Aliases

arxiv: 2605.12837 · arxiv_version: 2605.12837v1 · doi: 10.48550/arxiv.2605.12837 · pith_short_12: 4RGGDKYOCEMA · pith_short_16: 4RGGDKYOCEMAKOGI · pith_short_8: 4RGGDKYO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4RGGDKYOCEMAKOGI57WD3D2EB7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e44c61ab0e11180538c8efec3d8f440fd272fc001cd3f864bebacdc3221c527c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c761cac42261c6a70e66ecbf6dc3dab13d7fb8e915ffb353f4bac59cb93f1c0",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-13T00:13:52Z",
    "title_canon_sha256": "c4aad6c5567e05476195dfe9335aa0ce4a0d6411f21c0a14a5e1a518d146c97b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12837",
    "kind": "arxiv",
    "version": 1
  }
}