Pith Number

pith:ZAKDPPBP

pith:2012:ZAKDPPBPA5YUDF5HIYFLKMJNKQ

not attested not anchored not stored refs pending

The Bose Gas and Asymmetric Simple Exclusion Process on the Half-Line

Craig A. Tracy, Harold Widom

arxiv:1205.4054 v1 · 2012-05-17 · 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{ZAKDPPBPA5YUDF5HIYFLKMJNKQ}

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	2026-05-18T03:35:02.073913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c81437bc2f07714197a7460ab5312d5411dc2deeceff76aa57ec239cad7e9dba

Aliases

arxiv: 1205.4054 · arxiv_version: 1205.4054v1 · doi: 10.48550/arxiv.1205.4054 · pith_short_12: ZAKDPPBPA5YU · pith_short_16: ZAKDPPBPA5YUDF5H · pith_short_8: ZAKDPPBP

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/ZAKDPPBPA5YUDF5HIYFLKMJNKQ \
  | 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: c81437bc2f07714197a7460ab5312d5411dc2deeceff76aa57ec239cad7e9dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9084275e5a46634ab53433f412364888e88e3adce9a168a7a88781d070e1814",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-17T22:37:33Z",
    "title_canon_sha256": "a3dfd41956a4e52c9cb2efff5a478832977e2b1ac3f55c422039428e4534f4ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4054",
    "kind": "arxiv",
    "version": 1
  }
}