Pith Number

pith:S3KFF32Q

pith:2012:S3KFF32QIAIQWH5ZMKW2Z4JSUJ

not attested not anchored not stored refs pending

Op\'erations de Steenrod motiviques

Jo\"el Riou

arxiv:1207.3121 v1 · 2012-07-12 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S3KFF32QIAIQWH5ZMKW2Z4JSUJ}

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	2026-05-18T03:51:12.411541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96d452ef5040110b1fb962adacf132a2535fe91b29cc2ae614d25d8a481caaaf

Aliases

arxiv: 1207.3121 · arxiv_version: 1207.3121v1 · doi: 10.48550/arxiv.1207.3121 · pith_short_12: S3KFF32QIAIQ · pith_short_16: S3KFF32QIAIQWH5Z · pith_short_8: S3KFF32Q

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/S3KFF32QIAIQWH5ZMKW2Z4JSUJ \
  | 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: 96d452ef5040110b1fb962adacf132a2535fe91b29cc2ae614d25d8a481caaaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b69708f5791dd58afd8bec574d623f60bd5183e199234b4a1e8523bb50a604f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-12T23:47:47Z",
    "title_canon_sha256": "4dd110b6a021942a72380fc0d168e1153dc983749bc30bbd061f2c9e214ed7bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3121",
    "kind": "arxiv",
    "version": 1
  }
}