Pith Number

pith:3SRBMQZH

pith:2007:3SRBMQZHU5PCGWW26JXTAGUJJJ

not attested not anchored not stored refs pending

Combinatorial Stokes formulas via minimal resolutions

Bernhard Hanke, Carsten Schultz, G\"unter M. Ziegler, Raman Sanyal

arxiv:0710.0050 v1 · 2007-09-29 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3SRBMQZHU5PCGWW26JXTAGUJJJ}

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	2026-05-18T03:37:53.695463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dca2164327a75e235adaf26f301a894a4a68b3d724728a1d98574e447098a165

Aliases

arxiv: 0710.0050 · arxiv_version: 0710.0050v1 · doi: 10.48550/arxiv.0710.0050 · pith_short_12: 3SRBMQZHU5PC · pith_short_16: 3SRBMQZHU5PCGWW2 · pith_short_8: 3SRBMQZH

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/3SRBMQZHU5PCGWW26JXTAGUJJJ \
  | 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: dca2164327a75e235adaf26f301a894a4a68b3d724728a1d98574e447098a165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "295cf46796583b625106e9fa1cf03fcbf821818bd7063de29c07cf748e5a8dd0",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-09-29T12:36:34Z",
    "title_canon_sha256": "bd4a6a4ba9bcc43b5064a78a13938cb31d9296efdd879b91970108f9c676d7c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0050",
    "kind": "arxiv",
    "version": 1
  }
}