Pith Number

pith:A55VZI5S

pith:2013:A55VZI5SFBCWBXUL3XBQYDYBCZ

not attested not anchored not stored refs pending

Annealed and quenched limit theorems for random expanding dynamical systems

Matthew Nicol, Romain Aimino, Sandro Vaienti

arxiv:1310.4359 v2 · 2013-10-16 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A55VZI5SFBCWBXUL3XBQYDYBCZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:47:24.318265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

077b5ca3b2284560de8bddc30c0f01166fe3ef30382a786235e2c34ac8149b6a

Aliases

arxiv: 1310.4359 · arxiv_version: 1310.4359v2 · doi: 10.48550/arxiv.1310.4359 · pith_short_12: A55VZI5SFBCW · pith_short_16: A55VZI5SFBCWBXUL · pith_short_8: A55VZI5S

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/A55VZI5SFBCWBXUL3XBQYDYBCZ \
  | 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: 077b5ca3b2284560de8bddc30c0f01166fe3ef30382a786235e2c34ac8149b6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72f9ad2e7d0cfaf250906601fcf1e51c053434e9e0dd902929aacc77dad74b55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-10-16T13:04:28Z",
    "title_canon_sha256": "a370800fd94ee00de75b222a75112d884ab3f34ad0595eccebf00d0e4c384460"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4359",
    "kind": "arxiv",
    "version": 2
  }
}