Pith Number

pith:5CP7RMUG

pith:2003:5CP7RMUGXGMDOJZK3WKNMAEBAS

not attested not anchored not stored refs pending

A New Approach to Order Polynomials of Labeled Posets and Their Generalizations

David Wright, John Shareshian, Wenhua Zhao

arxiv:math/0311426 v1 · 2003-11-24 · 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{5CP7RMUGXGMDOJZK3WKNMAEBAS}

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.

Cited by

1 paper in Pith

Ehrhart positivity for marked order polytopes

Receipt and verification

First computed	2026-07-04T14:38:01.593813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e89ff8b286b99837272add94d600810488e55150cedd75dc15501111faab357b

Aliases

arxiv: math/0311426 · arxiv_version: math/0311426v1 · doi: 10.48550/arxiv.math/0311426 · pith_short_12: 5CP7RMUGXGMD · pith_short_16: 5CP7RMUGXGMDOJZK · pith_short_8: 5CP7RMUG

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/5CP7RMUGXGMDOJZK3WKNMAEBAS \
  | 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: e89ff8b286b99837272add94d600810488e55150cedd75dc15501111faab357b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74a5f2113ff0d8dde4e1adc4cf99ef6c0beb2e66659b07346dde058b5ecec745",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2003-11-24T22:28:08Z",
    "title_canon_sha256": "0b9c9b36e1455244eaaaa783b5ea16799875f290c462919e80e56c6e71f1c326"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311426",
    "kind": "arxiv",
    "version": 1
  }
}