Pith Number

pith:FOJT42IP

pith:2018:FOJT42IPJGSN476KUDXULIC7DC

not attested not anchored not stored refs pending

Index pairing with Alexander-Spanier cocycles

Alexander Gorokhovsky, Henri Moscovici

arxiv:1803.04443 v2 · 2018-03-12 · math.KT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOJT42IPJGSN476KUDXULIC7DC}

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	2026-05-18T00:04:59.246452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b933e690f49a4de7fcaa0ef45a05f18b2e60cdb5ba57d18dded9c2c4b5d4fe1

Aliases

arxiv: 1803.04443 · arxiv_version: 1803.04443v2 · doi: 10.48550/arxiv.1803.04443 · pith_short_12: FOJT42IPJGSN · pith_short_16: FOJT42IPJGSN476K · pith_short_8: FOJT42IP

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/FOJT42IPJGSN476KUDXULIC7DC \
  | 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: 2b933e690f49a4de7fcaa0ef45a05f18b2e60cdb5ba57d18dded9c2c4b5d4fe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ee4f2820a9f9e8f2effc41d3900abe142238757adce44f333c237513fd6446e",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2018-03-12T18:26:04Z",
    "title_canon_sha256": "5bf78053be06e5add77ec86c27d146a6a6438c880ca645c33f0fc89024378b19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04443",
    "kind": "arxiv",
    "version": 2
  }
}