Pith Number

pith:RYT4IDDM

pith:2013:RYT4IDDM7CBIYR26BPI5WZEAYG

not attested not anchored not stored refs pending

Ergodicity of a Generalized Jacobi's Equation and Applications

Nicolas Marie

arxiv:1308.4884 v5 · 2013-08-22 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYT4IDDM7CBIYR26BPI5WZEAYG}

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	2026-05-17T23:56:25.458101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e27c40c6cf8828c475e0bd1db6480c19c4253ce631cc5de5fe229394fc70863

Aliases

arxiv: 1308.4884 · arxiv_version: 1308.4884v5 · doi: 10.48550/arxiv.1308.4884 · pith_short_12: RYT4IDDM7CBI · pith_short_16: RYT4IDDM7CBIYR26 · pith_short_8: RYT4IDDM

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/RYT4IDDM7CBIYR26BPI5WZEAYG \
  | 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: 8e27c40c6cf8828c475e0bd1db6480c19c4253ce631cc5de5fe229394fc70863

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a5820ab4a1b77077131f6104d0f4fb27f134088e6200d393bdb502152a0c90f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-22T14:47:27Z",
    "title_canon_sha256": "e66a0ff48e6c20715c000640a58a5cf0ed77586ae747b5d37a7489cb4ce8567c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4884",
    "kind": "arxiv",
    "version": 5
  }
}