Pith Number

pith:7MA7A3E5

pith:2017:7MA7A3E5NZ4OWQMFAOZBEPBDRJ

not attested not anchored not stored refs pending

Computing the Cech cohomology of decomposition spaces

Benjamin Barrett

arxiv:1712.00780 v1 · 2017-12-03 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MA7A3E5NZ4OWQMFAOZBEPBDRJ}

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	2026-05-18T00:29:00.423671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb01f06c9d6e78eb418503b2123c238a712721696f60957b4b555513114aa5c7

Aliases

arxiv: 1712.00780 · arxiv_version: 1712.00780v1 · doi: 10.48550/arxiv.1712.00780 · pith_short_12: 7MA7A3E5NZ4O · pith_short_16: 7MA7A3E5NZ4OWQMF · pith_short_8: 7MA7A3E5

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/7MA7A3E5NZ4OWQMFAOZBEPBDRJ \
  | 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: fb01f06c9d6e78eb418503b2123c238a712721696f60957b4b555513114aa5c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02b26660137bb71500f00915f9a7e372274d7d55562f2338301cd01b7c930906",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-03T15:25:47Z",
    "title_canon_sha256": "37047ff9581725cac7555cd753bce9fa73fd6b78ffb68b094fe65e8455245891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00780",
    "kind": "arxiv",
    "version": 1
  }
}