Pith Number

pith:F2IOHKMZ

pith:2024:F2IOHKMZRAZNA353HP2LIXPFLT

not attested not anchored not stored refs pending

Patterson-Sullivan theory for coarse cocycles

Andrew Zimmer, Feng Zhu, Pierre-Louis Blayac, Richard Canary

arxiv:2404.09713 v2 · 2024-04-15 · math.DS · math.DG · 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{F2IOHKMZRAZNA353HP2LIXPFLT}

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

Finiteness of Bowen-Margulis-Sullivan Measure for Gromov-Patterson-Sullivan Systems

Receipt and verification

First computed	2026-07-05T08:51:50.572540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e90e3a9998832d06fbb3bf4b45de55cdc0b4e8bba96845045dee0669a1a03bd

Aliases

arxiv: 2404.09713 · arxiv_version: 2404.09713v2 · doi: 10.48550/arxiv.2404.09713 · pith_short_12: F2IOHKMZRAZN · pith_short_16: F2IOHKMZRAZNA353 · pith_short_8: F2IOHKMZ

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/F2IOHKMZRAZNA353HP2LIXPFLT \
  | 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: 2e90e3a9998832d06fbb3bf4b45de55cdc0b4e8bba96845045dee0669a1a03bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4217ac8ac72709c59f3483972348852c25b15027743ddabc8d5fda40d66f511e",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-04-15T12:16:20Z",
    "title_canon_sha256": "7b86ad8e5250bb4600e7a288cb1160609da6a70264c0f1c1fc1e91eb92fec353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.09713",
    "kind": "arxiv",
    "version": 2
  }
}