Pith Number

pith:EAAG7BCI

pith:2006:EAAG7BCIKZBKAUFQDPQHDCHKSS

not attested not anchored not stored refs pending

Three proofs of the Goulden-Litsyn-Shevelev conjecture on a sequence arising in algebraic geometry

Brian Drake, Guoce Xin, Ira M. Gessel

arxiv:math/0609071 v1 · 2006-09-03 · 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{EAAG7BCIKZBKAUFQDPQHDCHKSS}

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	2026-05-18T03:29:16.810520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20006f84485642a050b01be07188ea94a4726416c1173546ff44a5110480a9bf

Aliases

arxiv: math/0609071 · arxiv_version: math/0609071v1 · doi: 10.48550/arxiv.math/0609071 · pith_short_12: EAAG7BCIKZBK · pith_short_16: EAAG7BCIKZBKAUFQ · pith_short_8: EAAG7BCI

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/EAAG7BCIKZBKAUFQDPQHDCHKSS \
  | 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: 20006f84485642a050b01be07188ea94a4726416c1173546ff44a5110480a9bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe1d46c3c894ac6bc31d8692898647ea163342bbc7e769c4e19df3f4e7e8f8bf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-09-03T03:42:11Z",
    "title_canon_sha256": "42cd28bc7f484660c36e67782eadb77e30283bc2b7b267eddb6e67e98bbf1c75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609071",
    "kind": "arxiv",
    "version": 1
  }
}