Pith Number

pith:TJXJ3OPT

pith:2008:TJXJ3OPTCLSKOJ4YVXLRGRMJ75

not attested not anchored not stored refs pending

Combinatorial computation of the motivic Poincare series

E. Gorsky

arxiv:0807.0491 v2 · 2008-07-03 · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJXJ3OPTCLSKOJ4YVXLRGRMJ75}

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	2026-05-18T04:24:04.400630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a6e9db9f312e4a72798add7134589ff59d7cc12c4f04cb46569eb545be8f448

Aliases

arxiv: 0807.0491 · arxiv_version: 0807.0491v2 · doi: 10.48550/arxiv.0807.0491 · pith_short_12: TJXJ3OPTCLSK · pith_short_16: TJXJ3OPTCLSKOJ4Y · pith_short_8: TJXJ3OPT

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/TJXJ3OPTCLSKOJ4YVXLRGRMJ75 \
  | 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: 9a6e9db9f312e4a72798add7134589ff59d7cc12c4f04cb46569eb545be8f448

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd1581766fefb587232384455fb18b0979f2e9844c5a9f925dd0b2f2e8ac04af",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-07-03T06:35:21Z",
    "title_canon_sha256": "afe811770b4dd7bd72a5a6707fb8a5395f4f219514261c1a6437b423629f1202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.0491",
    "kind": "arxiv",
    "version": 2
  }
}