Pith Number

pith:Z3T7KZWI

pith:2018:Z3T7KZWI2TF566W6KLJM7TWJDH

not attested not anchored not stored refs pending

Distributive laws between the Three Graces

Martin Markl, Murray Bremner

arxiv:1809.08191 v2 · 2018-09-21 · math.AT · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3T7KZWI2TF566W6KLJM7TWJDH}

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	2026-05-17T23:56:47.129991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cee7f566c8d4cbdf7ade52d2cfcec919d7eee3fadef5f15bbb381d405143ef87

Aliases

arxiv: 1809.08191 · arxiv_version: 1809.08191v2 · doi: 10.48550/arxiv.1809.08191 · pith_short_12: Z3T7KZWI2TF5 · pith_short_16: Z3T7KZWI2TF566W6 · pith_short_8: Z3T7KZWI

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/Z3T7KZWI2TF566W6KLJM7TWJDH \
  | 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: cee7f566c8d4cbdf7ade52d2cfcec919d7eee3fadef5f15bbb381d405143ef87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "774843c8980656c37a6a19dffcae2492ba9dc7945f4d2d5d1e1a6b9b631ec767",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-09-21T16:19:00Z",
    "title_canon_sha256": "287165b444ac8e9aed5d12207fad9626ccf4d906f36a54cfad1404d1cb393b4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08191",
    "kind": "arxiv",
    "version": 2
  }
}