Pith Number

pith:TP2Y3NQB

pith:2015:TP2Y3NQBVQDNHYSCKEK76MWR6Z

not attested not anchored not stored refs pending

Decomposition spaces, incidence algebras and M\"obius inversion I: basic theory

Andrew Tonks, Imma G\'alvez-Carrillo, Joachim Kock

arxiv:1512.07573 v4 · 2015-12-23 · math.CT · math.AT · 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{TP2Y3NQBVQDNHYSCKEK76MWR6Z}

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	2026-05-17T23:41:31.586751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf58db601ac06d3e2425115ff32d1f645cde434b7ed424165d880c1c8050ec5

Aliases

arxiv: 1512.07573 · arxiv_version: 1512.07573v4 · doi: 10.48550/arxiv.1512.07573 · pith_short_12: TP2Y3NQBVQDN · pith_short_16: TP2Y3NQBVQDNHYSC · pith_short_8: TP2Y3NQB

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/TP2Y3NQBVQDNHYSCKEK76MWR6Z \
  | 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: 9bf58db601ac06d3e2425115ff32d1f645cde434b7ed424165d880c1c8050ec5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eee6c9863d091a9834a503d015f5260ce0860701e96bc436e8f4592bd642c954",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-12-23T18:25:04Z",
    "title_canon_sha256": "8054c0707d4e2643550a3ce35a28f59de7923b521e81ee67c5f4fb4f114ab985"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07573",
    "kind": "arxiv",
    "version": 4
  }
}