Pith Number

pith:AIIMQAB5

pith:2022:AIIMQAB5HFHLNLBJJAEU2AL5GM

not attested not anchored not stored refs pending

Equivariant hierarchically hyperbolic structures for 3-manifold groups via quasimorphisms

Alessandro Sisto, Davide Spriano, Jacob Russell, Mark Hagen

arxiv:2206.12244 v2 · 2022-06-24 · math.GT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AIIMQAB5HFHLNLBJJAEU2AL5GM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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.

Cited by

1 paper in Pith

Bounded cohomology, quotient extensions, and hierarchical hyperbolicity

Receipt and verification

First computed	2026-07-05T06:40:09.249370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0210c8003d394eb6ac2948094d017d3301383c81e3b7e515d8316f4a33c9c841

Aliases

arxiv: 2206.12244 · arxiv_version: 2206.12244v2 · doi: 10.48550/arxiv.2206.12244 · pith_short_12: AIIMQAB5HFHL · pith_short_16: AIIMQAB5HFHLNLBJ · pith_short_8: AIIMQAB5

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/AIIMQAB5HFHLNLBJJAEU2AL5GM \
  | 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: 0210c8003d394eb6ac2948094d017d3301383c81e3b7e515d8316f4a33c9c841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f38d4be8ad8bd858bae32785cc1f8486d41d097440ca208a6a5a1e66b82c971",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-06-24T12:30:58Z",
    "title_canon_sha256": "b2e9da4e5152f782661001f56c4361627cfc322033cc5aa91530554a019ddd01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.12244",
    "kind": "arxiv",
    "version": 2
  }
}