Pith Number

pith:M5X6SHKG

pith:2013:M5X6SHKGYPGKVU7LQGECWSXVST

not attested not anchored not stored refs pending

Range-Renewal Speed and Entropy for I.I.D Models

Jiangang Ying, Jian-Sheng Xie, Xin-Xing Chen

arxiv:1305.5666 v1 · 2013-05-24 · math.PR · math-ph · math.MP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M5X6SHKGYPGKVU7LQGECWSXVST}

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	2026-05-18T03:25:03.555090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

676fe91d46c3ccaad3eb81882b4af594c133fde9f6ea9f2be8b36cc78a718717

Aliases

arxiv: 1305.5666 · arxiv_version: 1305.5666v1 · doi: 10.48550/arxiv.1305.5666 · pith_short_12: M5X6SHKGYPGK · pith_short_16: M5X6SHKGYPGKVU7L · pith_short_8: M5X6SHKG

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/M5X6SHKGYPGKVU7LQGECWSXVST \
  | 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: 676fe91d46c3ccaad3eb81882b4af594c133fde9f6ea9f2be8b36cc78a718717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05b006b29f46926008c44e25a83e01cfb999e705ef31e6fd50f95dc0dbf8d9ae",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-24T09:40:56Z",
    "title_canon_sha256": "f3811d4bb03d3676c8f0d323186dd09b814bb9207882537eb9028032d55b58ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5666",
    "kind": "arxiv",
    "version": 1
  }
}