Pith Number

pith:554ETQCC

pith:2013:554ETQCCRNKDEL4WNZORW675SG

not attested not anchored not stored refs pending

A Determinantal Formula for Catalan Tableaux and TASEP Probabilities

Olya Mandelshtam

arxiv:1310.7059 v3 · 2013-10-26 · 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{554ETQCCRNKDEL4WNZORW675SG}

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	2026-05-18T02:28:31.936516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef7849c0428b54322f966e5d1b7bfd918b0acefcd7f78967af387aac55e112c5

Aliases

arxiv: 1310.7059 · arxiv_version: 1310.7059v3 · doi: 10.48550/arxiv.1310.7059 · pith_short_12: 554ETQCCRNKD · pith_short_16: 554ETQCCRNKDEL4W · pith_short_8: 554ETQCC

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/554ETQCCRNKDEL4WNZORW675SG \
  | 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: ef7849c0428b54322f966e5d1b7bfd918b0acefcd7f78967af387aac55e112c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ca90d0237b51597708fae18d5bb4a9ebbaca63569635444806f61a69e8187c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-26T00:48:27Z",
    "title_canon_sha256": "15931aa4157fe98b8c54a161f0786d73fd22f7990420062580f8e5cfe4405595"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7059",
    "kind": "arxiv",
    "version": 3
  }
}