Pith Number

pith:7IJCSEZK

pith:2005:7IJCSEZK5W5MOXNAMI7GRQWW7M

not attested not anchored not stored refs pending

Moderate deviation principle for ergodic Markov chain. Lipschitz summands

A. Juditsky, B. Delyon, R. Liptser

arxiv:math/0503071 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{7IJCSEZK5W5MOXNAMI7GRQWW7M}

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	2026-05-18T01:05:23.699398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa1229132aedbac75da0623e68c2d6fb3c804220935ec030e197c4e993bfdc2d

Aliases

arxiv: math/0503071 · arxiv_version: math/0503071v1 · doi: 10.48550/arxiv.math/0503071 · pith_short_12: 7IJCSEZK5W5M · pith_short_16: 7IJCSEZK5W5MOXNA · pith_short_8: 7IJCSEZK

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/7IJCSEZK5W5MOXNAMI7GRQWW7M \
  | 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: fa1229132aedbac75da0623e68c2d6fb3c804220935ec030e197c4e993bfdc2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "defc7720f56ebbd2c769608b42f1ea973d91f6d6b23296f00557122acdd345bb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-03-04T03:11:02Z",
    "title_canon_sha256": "be9e9b1c6b585ba8d67346aff35eacac4aa6ed1f0697252e9aed955461e539d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503071",
    "kind": "arxiv",
    "version": 1
  }
}