Pith Number

pith:U6ILA7XO

pith:2012:U6ILA7XOZ7VLPKCGHNLIHG5L7L

not attested not anchored not stored refs pending

Cartesian modules in small categories

E. Enochs, S. Estrada

arxiv:1203.5724 v1 · 2012-03-26 · math.AG · 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{U6ILA7XOZ7VLPKCGHNLIHG5L7L}

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	2026-05-18T03:59:14.398984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a790b07eeecfeab7a8463b56839babfafb3d817c52bbff5f2ae5e4fad01c6759

Aliases

arxiv: 1203.5724 · arxiv_version: 1203.5724v1 · doi: 10.48550/arxiv.1203.5724 · pith_short_12: U6ILA7XOZ7VL · pith_short_16: U6ILA7XOZ7VLPKCG · pith_short_8: U6ILA7XO

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/U6ILA7XOZ7VLPKCGHNLIHG5L7L \
  | 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: a790b07eeecfeab7a8463b56839babfafb3d817c52bbff5f2ae5e4fad01c6759

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddb4ff1dbd70b9464c70259810d6df59700bdad3acc2a6cc661e489b68ecfd07",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-26T16:35:08Z",
    "title_canon_sha256": "64c79648b659266d7d914b241edd3e4d4891e08fff29b689bbc8cf739f14c5e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5724",
    "kind": "arxiv",
    "version": 1
  }
}