Pith Number

pith:SOWW4UY7

pith:2017:SOWW4UY7HGZBH4NYG2LVC67A7N

not attested not anchored not stored refs pending

The Graf product: a Clifford structure framework on the exterior bundle

R. da Rocha, R. Lopes

arxiv:1712.02737 v2 · 2017-12-06 · math.DG · math.AT · 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{SOWW4UY7HGZBH4NYG2LVC67A7N}

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	2026-05-18T00:11:23.613775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93ad6e531f39b213f1b83697517be0fb7da31e5e82c917844bf8891e8bbc1392

Aliases

arxiv: 1712.02737 · arxiv_version: 1712.02737v2 · doi: 10.48550/arxiv.1712.02737 · pith_short_12: SOWW4UY7HGZB · pith_short_16: SOWW4UY7HGZBH4NY · pith_short_8: SOWW4UY7

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/SOWW4UY7HGZBH4NYG2LVC67A7N \
  | 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: 93ad6e531f39b213f1b83697517be0fb7da31e5e82c917844bf8891e8bbc1392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0539654872c9b1b45abe6745084a5206a0d138bf6a51ebe35ff2d63164093a7b",
    "cross_cats_sorted": [
      "math.AT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-06T15:49:04Z",
    "title_canon_sha256": "ced021d2a63747a99e4c12ffea2580359445d6011f4791e4909ae234be012ba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02737",
    "kind": "arxiv",
    "version": 2
  }
}