Pith Number

pith:VGZEHFJH

pith:2024:VGZEHFJHKYTRFSH4FKWF7XVTZW

not attested not anchored not stored refs pending

Relatively Anosov groups: finiteness, measure of maximal entropy, and reparameterization

Dongryul M. Kim, Hee Oh

arxiv:2404.09745 v3 · 2024-04-15 · math.DS · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGZEHFJHKYTRFSH4FKWF7XVTZW}

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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

✓ 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

Geometry and Dynamics of Transverse Groups

Receipt and verification

First computed	2026-07-05T11:08:38.017237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9b2439527562712c8fc2aac5fdeb3cd8d4b66d3d4d3ca4e8b2579c89ab20280

Aliases

arxiv: 2404.09745 · arxiv_version: 2404.09745v3 · doi: 10.48550/arxiv.2404.09745 · pith_short_12: VGZEHFJHKYTR · pith_short_16: VGZEHFJHKYTRFSH4 · pith_short_8: VGZEHFJH

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/VGZEHFJHKYTRFSH4FKWF7XVTZW \
  | 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: a9b2439527562712c8fc2aac5fdeb3cd8d4b66d3d4d3ca4e8b2579c89ab20280

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51e649e68c8b29bbdca474fc032e59b965b80128be212301d916e1d0629135d7",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-04-15T12:46:14Z",
    "title_canon_sha256": "bb40ba15ee7e5a6d750ffa97859887a8c6437b6df2894de2602d690ea52f9e1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.09745",
    "kind": "arxiv",
    "version": 3
  }
}