Pith Number

pith:H3BGE42Q

pith:2011:H3BGE42Q2CCZB2JHI574RG5JHM

not attested not anchored not stored refs pending

Half-lattice paths and Virasoro characters

Olivier B.-Fournier, Pierre Mathieu, Trevor A. Welsh

arxiv:1109.0578 v1 · 2011-09-03 · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3BGE42Q2CCZB2JHI574RG5JHM}

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	2026-05-18T00:31:14.327763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ec2627350d08590e927477fc89ba93b298baab72ad906ca3ae7fdb9fa2816d7

Aliases

arxiv: 1109.0578 · arxiv_version: 1109.0578v1 · doi: 10.48550/arxiv.1109.0578 · pith_short_12: H3BGE42Q2CCZ · pith_short_16: H3BGE42Q2CCZB2JH · pith_short_8: H3BGE42Q

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/H3BGE42Q2CCZB2JHI574RG5JHM \
  | 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: 3ec2627350d08590e927477fc89ba93b298baab72ad906ca3ae7fdb9fa2816d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e08d08428d91624f073e9bd724cee8cb07255d3fceba441ac9d55f2958bdfebf",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-03T00:11:23Z",
    "title_canon_sha256": "5a07c700e7435e10e5453fd7c19be43427fca443625ec7870977f41e41f62c9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0578",
    "kind": "arxiv",
    "version": 1
  }
}