Pith Number

pith:TAAEYIBZ

pith:2013:TAAEYIBZ6ETJHYR72TZTK2Q7CX

not attested not anchored not stored refs pending

A product formula for the TASEP on a ring

Erik Aas, Jonas Sj\"ostrand

arxiv:1312.2493 v1 · 2013-12-09 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAAEYIBZ6ETJHYR72TZTK2Q7CX}

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	2026-05-18T03:05:10.169778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98004c2039f12693e23fd4f3356a1f15c461edaedf558c04c993f250c26d842b

Aliases

arxiv: 1312.2493 · arxiv_version: 1312.2493v1 · doi: 10.48550/arxiv.1312.2493 · pith_short_12: TAAEYIBZ6ETJ · pith_short_16: TAAEYIBZ6ETJHYR7 · pith_short_8: TAAEYIBZ

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/TAAEYIBZ6ETJHYR72TZTK2Q7CX \
  | 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: 98004c2039f12693e23fd4f3356a1f15c461edaedf558c04c993f250c26d842b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0df58c2277572cf90e36bb733a132d5213868347f0ff3de3373c6148bf37768",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-09T16:19:45Z",
    "title_canon_sha256": "868c78ee79709270e233b9cb828b7a7844f1c5134530aedbed5bc7123aa5ee7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2493",
    "kind": "arxiv",
    "version": 1
  }
}