Pith Number

pith:TLGWTXJY

pith:2024:TLGWTXJYQORRINJYXE4ZMXKNNE

not attested not anchored not stored refs pending

The Demazure product extended to biwords

William Q. Erickson

arxiv:2407.13165 v1 · 2024-07-18 · 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{TLGWTXJYQORRINJYXE4ZMXKNNE}

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	2026-07-05T08:45:34.881846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9acd69dd3883a3143538b939965d4d69113261c3ef783ed5c9cf6622da44c1fb

Aliases

arxiv: 2407.13165 · arxiv_version: 2407.13165v1 · doi: 10.48550/arxiv.2407.13165 · pith_short_12: TLGWTXJYQORR · pith_short_16: TLGWTXJYQORRINJY · pith_short_8: TLGWTXJY

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/TLGWTXJYQORRINJYXE4ZMXKNNE \
  | 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: 9acd69dd3883a3143538b939965d4d69113261c3ef783ed5c9cf6622da44c1fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0febbf5f8666fd58a8362ae72873615721ac2842130d9e5c646ffad1506cf69f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-07-18T05:08:09Z",
    "title_canon_sha256": "3d96653e587ced8df198690364c5e1db5f74844dde2d546adffea547f5e9c522"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.13165",
    "kind": "arxiv",
    "version": 1
  }
}