Pith Number

pith:5LP2ZS3A

pith:2013:5LP2ZS3AFPZJVBW73OEAGWR3A2

not attested not anchored not stored refs pending

Large deviations for systems with non-uniform structure

Daniel J. Thompson, Kenichiro Yamamoto, Vaughn Climenhaga

arxiv:1304.5497 v2 · 2013-04-19 · 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{5LP2ZS3AFPZJVBW73OEAGWR3A2}

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	2026-05-18T00:32:15.570256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eadfaccb602bf29a86dfdb88035a3b06955d8b2b8d470c43f676221408995e13

Aliases

arxiv: 1304.5497 · arxiv_version: 1304.5497v2 · doi: 10.48550/arxiv.1304.5497 · pith_short_12: 5LP2ZS3AFPZJ · pith_short_16: 5LP2ZS3AFPZJVBW7 · pith_short_8: 5LP2ZS3A

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/5LP2ZS3AFPZJVBW73OEAGWR3A2 \
  | 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: eadfaccb602bf29a86dfdb88035a3b06955d8b2b8d470c43f676221408995e13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09c7104413bdd945d5604bb05fed449b5fc0d59741c8b5a399d51491c0263543",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-19T18:19:46Z",
    "title_canon_sha256": "3ac6a311279f14d145e287a5512cf80cbfc2b77c3d38103a6272cafc06f85a14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5497",
    "kind": "arxiv",
    "version": 2
  }
}