Pith Number

pith:Y5THDUIP

pith:2016:Y5THDUIP4LMG2AQDDSWTX3VDI5

not attested not anchored not stored refs pending

Set-Valued Tableaux & Generalized Catalan Numbers

Paul Drube

arxiv:1607.07411 v2 · 2016-07-25 · 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{Y5THDUIP4LMG2AQDDSWTX3VDI5}

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	2026-05-18T00:33:44.101419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c76671d10fe2d86d02031cad3beea3477c669d4d06aa313543c93c45835c6540

Aliases

arxiv: 1607.07411 · arxiv_version: 1607.07411v2 · doi: 10.48550/arxiv.1607.07411 · pith_short_12: Y5THDUIP4LMG · pith_short_16: Y5THDUIP4LMG2AQD · pith_short_8: Y5THDUIP

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/Y5THDUIP4LMG2AQDDSWTX3VDI5 \
  | 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: c76671d10fe2d86d02031cad3beea3477c669d4d06aa313543c93c45835c6540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7c822fd9b8dcace8af9a6dec9ffc8fb8b3cb681ccecb71a377d2752e2666a40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-25T19:07:29Z",
    "title_canon_sha256": "092f4a05f196118eceaafe4fa50c778112e230111cfaf591fdfbc62255ecaea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07411",
    "kind": "arxiv",
    "version": 2
  }
}