Pith Number

pith:GRA7GM5A

pith:2010:GRA7GM5A4AS3A3SABHXYM7SFX5

not attested not anchored not stored refs pending

Stochastic ranking process with time dependent intensities

Kumiko Hattori, Takahisa Kobayashi, Tetsuya Hattori, Yukio Nagahata, Yuu Hariya, Yuusuke Takeshima

arxiv:1010.5045 v1 · 2010-10-25 · 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{GRA7GM5A4AS3A3SABHXYM7SFX5}

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	2026-05-18T04:27:56.511584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3441f333a0e025b06e4009ef867e45bf719b5ef8b97c2eb3f53ae6306b043bf3

Aliases

arxiv: 1010.5045 · arxiv_version: 1010.5045v1 · doi: 10.48550/arxiv.1010.5045 · pith_short_12: GRA7GM5A4AS3 · pith_short_16: GRA7GM5A4AS3A3SA · pith_short_8: GRA7GM5A

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/GRA7GM5A4AS3A3SABHXYM7SFX5 \
  | 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: 3441f333a0e025b06e4009ef867e45bf719b5ef8b97c2eb3f53ae6306b043bf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0340d6669f031f35e0e5fea5c4746963e062f0286d9480e387a87eff88f73d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-25T06:48:48Z",
    "title_canon_sha256": "03cb51abf1d69054b8d8c0230f1bd2b4a7349d8f2f69048f0a755fbd8feb356d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5045",
    "kind": "arxiv",
    "version": 1
  }
}