Pith Number

pith:K6CU2VPM

pith:2001:K6CU2VPM7THIAAGT5SXE3HSMUY

not attested not anchored not stored refs pending

Lattice Diagram polynomials in one set of variables

Francois Bergeron, Jean-Christophe Aval, Nantel Bergeron

arxiv:math/0103181 v1 · 2001-03-27 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K6CU2VPM7THIAAGT5SXE3HSMUY}

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	2026-05-18T01:00:03.510857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57854d55ecfcce8000d3ecae4d9e4ca636d8ce346aa562fb5e5ec9c6734df28d

Aliases

arxiv: math/0103181 · arxiv_version: math/0103181v1 · doi: 10.48550/arxiv.math/0103181 · pith_short_12: K6CU2VPM7THI · pith_short_16: K6CU2VPM7THIAAGT · pith_short_8: K6CU2VPM

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/K6CU2VPM7THIAAGT5SXE3HSMUY \
  | 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: 57854d55ecfcce8000d3ecae4d9e4ca636d8ce346aa562fb5e5ec9c6734df28d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e54f419f3dc466c43b6d38d98ba618838ac86a12aabcc4fa7fcf59213e1809a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2001-03-27T14:07:23Z",
    "title_canon_sha256": "85731d2ce94cf45772871f5418a1760c5a0980894fd64302423081f217666dcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0103181",
    "kind": "arxiv",
    "version": 1
  }
}