Pith Number

pith:BR6PARF2

pith:2012:BR6PARF2VJ3YM7I22LNPY65FP2

not attested not anchored not stored refs pending

Stochastic ranking process with space-time dependent intensities

Seiichiro Kusuoka, Tetsuya Hattori

arxiv:1204.4767 v1 · 2012-04-21 · 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{BR6PARF2VJ3YM7I22LNPY65FP2}

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	2026-05-18T03:37:41.377737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c7cf044baaa77867d1ad2dafc7ba57eb2ab5e177fce612b80af837768104ae5

Aliases

arxiv: 1204.4767 · arxiv_version: 1204.4767v1 · doi: 10.48550/arxiv.1204.4767 · pith_short_12: BR6PARF2VJ3Y · pith_short_16: BR6PARF2VJ3YM7I2 · pith_short_8: BR6PARF2

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/BR6PARF2VJ3YM7I22LNPY65FP2 \
  | 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: 0c7cf044baaa77867d1ad2dafc7ba57eb2ab5e177fce612b80af837768104ae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98991bde8d35bd77ed2272da7f829213e58cb100ac27b4fbbd49d94db7029b03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-21T02:44:15Z",
    "title_canon_sha256": "2c82cf38e0bd335550acfdb4ef1d433ecb2dc61a11c5b0831f4a6f58d6b33024"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4767",
    "kind": "arxiv",
    "version": 1
  }
}