Pith Number

pith:K2BHYD26

pith:2011:K2BHYD26JKAPBIVUQ26S73P7A4

not attested not anchored not stored refs pending

Bernoulli equilibrium states for surface diffeomorphisms

Omri Sarig

arxiv:1107.3711 v1 · 2011-07-19 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2BHYD26JKAPBIVUQ26S73P7A4}

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	2026-05-18T04:17:16.160283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56827c0f5e4a80f0a2b486bd2fedff07217c3743d061a1b00e773a6ca7e1d4bf

Aliases

arxiv: 1107.3711 · arxiv_version: 1107.3711v1 · doi: 10.48550/arxiv.1107.3711 · pith_short_12: K2BHYD26JKAP · pith_short_16: K2BHYD26JKAPBIVU · pith_short_8: K2BHYD26

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/K2BHYD26JKAPBIVUQ26S73P7A4 \
  | 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: 56827c0f5e4a80f0a2b486bd2fedff07217c3743d061a1b00e773a6ca7e1d4bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c19e97a292c16e2794cdf71dcdc246eb940659dea2d9dc82bb571dc695ace3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-07-19T13:33:28Z",
    "title_canon_sha256": "3ac010d9ec91e181ea31c1789bf4e72ab0f6dbd9a6509e203295a04ec821b0a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3711",
    "kind": "arxiv",
    "version": 1
  }
}