Pith Number

pith:4OS4ARCY

pith:2014:4OS4ARCYIWGUO3ZNASEYOVFFDH

not attested not anchored not stored refs pending

Logarithm laws for equilibrium states in negative curvature

Fr\'ed\'eric Paulin (LM-Orsay), Mark Pollicott (WMI)

arxiv:1405.2320 v1 · 2014-05-09 · math.DS · math-ph · math.DG · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OS4ARCYIWGUO3ZNASEYOVFFDH}

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.

Receipt and verification

First computed	2026-05-18T02:52:13.114842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3a5c04458458d476f2d04898754a519e415c6137948603d689b7110a58d07d4

Aliases

arxiv: 1405.2320 · arxiv_version: 1405.2320v1 · doi: 10.48550/arxiv.1405.2320 · pith_short_12: 4OS4ARCYIWGU · pith_short_16: 4OS4ARCYIWGUO3ZN · pith_short_8: 4OS4ARCY

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/4OS4ARCYIWGUO3ZNASEYOVFFDH \
  | 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: e3a5c04458458d476f2d04898754a519e415c6137948603d689b7110a58d07d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36e013d83dca5945e96a42c32abe137683a7245dbd1a38e1c065c946fbd97bfe",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-05-09T19:10:54Z",
    "title_canon_sha256": "5b99d75b9189d49b8cf4fc1aa08bcf9c6579386beae6f08392a56abaa2ab3a36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2320",
    "kind": "arxiv",
    "version": 1
  }
}