Pith Number

pith:5ZXOH3FG

pith:2005:5ZXOH3FGZ66NDH7DPHD3JBM4P3

not attested not anchored not stored refs pending

Examples of moderate deviation principle for diffusion processes

A. Guillin, R. Liptser

arxiv:math/0503070 v1 · 2005-03-04 · 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{5ZXOH3FGZ66NDH7DPHD3JBM4P3}

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	2026-05-18T01:08:51.263851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee6ee3eca6cfbcd19fe379c7b4859c7ed56ea95d0900444825e882810310e2e3

Aliases

arxiv: math/0503070 · arxiv_version: math/0503070v1 · doi: 10.48550/arxiv.math/0503070 · pith_short_12: 5ZXOH3FGZ66N · pith_short_16: 5ZXOH3FGZ66NDH7D · pith_short_8: 5ZXOH3FG

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/5ZXOH3FGZ66NDH7DPHD3JBM4P3 \
  | 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: ee6ee3eca6cfbcd19fe379c7b4859c7ed56ea95d0900444825e882810310e2e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab0711d7b9802d198bbf4df631e1108443bf1929f930661a0015619fc8d0dba2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-03-04T01:47:28Z",
    "title_canon_sha256": "721eef97dab022ae3a530706de5895e691f033eb2dba82544f93ad9a7fa01c79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503070",
    "kind": "arxiv",
    "version": 1
  }
}