Pith Number

pith:NL6JJ2BY

pith:2008:NL6JJ2BYGX2ENROCGOIZS25UB4

not attested not anchored not stored refs pending

On the structure of Goulden-Jackson-Vakil formula

S. Shadrin

arxiv:0810.0729 v1 · 2008-10-03 · math.AG · 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{NL6JJ2BYGX2ENROCGOIZS25UB4}

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	2026-05-18T00:10:41.934347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6afc94e83835f446c5c23391996bb40f36ac718ddde504524b3032e50dab53dc

Aliases

arxiv: 0810.0729 · arxiv_version: 0810.0729v1 · doi: 10.48550/arxiv.0810.0729 · pith_short_12: NL6JJ2BYGX2E · pith_short_16: NL6JJ2BYGX2ENROC · pith_short_8: NL6JJ2BY

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/NL6JJ2BYGX2ENROCGOIZS25UB4 \
  | 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: 6afc94e83835f446c5c23391996bb40f36ac718ddde504524b3032e50dab53dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79bb214afef521d7b5dae2b7b6c8742405509a581cb609e7d7550806df768099",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-10-03T22:30:14Z",
    "title_canon_sha256": "36ed825fd6e60611b166f1d2ef1a8ec8a8d740e72fae2f803f19009f85605dc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.0729",
    "kind": "arxiv",
    "version": 1
  }
}