pith. sign in
Pith Number

pith:2T75OS5M

pith:2013:2T75OS5M37C7GXGBHADHLAJOQY
not attested not anchored not stored refs pending

Explicit estimates in the Bramson-Kalikow model

Christophe Gallesco, Daniel Yasumasa Takahashi, Sandro Gallo

arxiv:1302.1267 v2 · 2013-02-06 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2T75OS5M37C7GXGBHADHLAJOQY}

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 2026-05-18T02:39:01.387099Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d4ffd74bacdfc5f35cc1380675812e8604e74bb58a67b226cfbc7f68c5f0a25e

Aliases

arxiv: 1302.1267 · arxiv_version: 1302.1267v2 · doi: 10.48550/arxiv.1302.1267 · pith_short_12: 2T75OS5M37C7 · pith_short_16: 2T75OS5M37C7GXGB · pith_short_8: 2T75OS5M
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2T75OS5M37C7GXGBHADHLAJOQY \
  | 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: d4ffd74bacdfc5f35cc1380675812e8604e74bb58a67b226cfbc7f68c5f0a25e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4aec432742a04daf71231591d45d71f2e947177451f2c9ba69c4dc97c9b568be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-06T05:27:34Z",
    "title_canon_sha256": "465267256d4c84fa43d87713a0038e97ac24d1c3accf452db8b0c1169f0ca615"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1267",
    "kind": "arxiv",
    "version": 2
  }
}