Pith Number

pith:FO33FUIF

pith:2012:FO33FUIFUQ6KD47ZULFIMWIHBG

not attested not anchored not stored refs pending

Cuts and flows of cell complexes

Art M. Duval, Caroline J. Klivans, Jeremy L. Martin

arxiv:1206.6157 v3 · 2012-06-27 · 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{FO33FUIFUQ6KD47ZULFIMWIHBG}

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	2026-05-18T02:41:26.384331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bb7b2d105a43ca1f3f9a2ca865907098d0221da359308f23df2863f9934f8e0

Aliases

arxiv: 1206.6157 · arxiv_version: 1206.6157v3 · doi: 10.48550/arxiv.1206.6157 · pith_short_12: FO33FUIFUQ6K · pith_short_16: FO33FUIFUQ6KD47Z · pith_short_8: FO33FUIF

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/FO33FUIFUQ6KD47ZULFIMWIHBG \
  | 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: 2bb7b2d105a43ca1f3f9a2ca865907098d0221da359308f23df2863f9934f8e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f0ca15ff581d3a39e36f3d280408053aac01a0a240b279dda08c8fa5611fe21",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-27T02:08:22Z",
    "title_canon_sha256": "dde04871259f93f72d433713015d630a8ebc6aa6c44b2ffc82ac7fbd0c5d1df9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6157",
    "kind": "arxiv",
    "version": 3
  }
}