Pith Number

pith:BTOXBEED

pith:2010:BTOXBEEDAK5T6F3X3DS2F2GJVU

not attested not anchored not stored refs pending

On ASEP with Periodic Step Bernoulli Initial Condition

Craig A. Tracy, Harold Widom

arxiv:1009.1863 v2 · 2010-09-09 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTOXBEEDAK5T6F3X3DS2F2GJVU}

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	2026-05-18T04:28:09.609863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cdd70908302bb3f1777d8e5a2e8c9ad0c54bbf6d9b16d5c48f619cc5e84fffa

Aliases

arxiv: 1009.1863 · arxiv_version: 1009.1863v2 · doi: 10.48550/arxiv.1009.1863 · pith_short_12: BTOXBEEDAK5T · pith_short_16: BTOXBEEDAK5T6F3X · pith_short_8: BTOXBEED

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/BTOXBEEDAK5T6F3X3DS2F2GJVU \
  | 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: 0cdd70908302bb3f1777d8e5a2e8c9ad0c54bbf6d9b16d5c48f619cc5e84fffa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91d9ca5f419b9ee37f193c64c2bce803a8c3463817fe4ef28239ca97b4d14d70",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-09T19:20:17Z",
    "title_canon_sha256": "eae77ee2027b31dddcd0f1e5b10d7dced35185375353eb93c653b660c86f0c15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1863",
    "kind": "arxiv",
    "version": 2
  }
}