Pith Number

pith:PQNZVIVL

pith:2013:PQNZVIVLWHUOZTGGFP5EDZNCMI

not attested not anchored not stored refs pending

DG-modules over de Rham DG-algebra

Sergey Rybakov

arxiv:1311.7503 v1 · 2013-11-29 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQNZVIVLWHUOZTGGFP5EDZNCMI}

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	2026-05-18T03:05:56.023794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c1b9aa2abb1e8ecccc62bfa41e5a2623fb98fa5912d0bbf3b00c7b2a4970783

Aliases

arxiv: 1311.7503 · arxiv_version: 1311.7503v1 · doi: 10.48550/arxiv.1311.7503 · pith_short_12: PQNZVIVLWHUO · pith_short_16: PQNZVIVLWHUOZTGG · pith_short_8: PQNZVIVL

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/PQNZVIVLWHUOZTGGFP5EDZNCMI \
  | 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: 7c1b9aa2abb1e8ecccc62bfa41e5a2623fb98fa5912d0bbf3b00c7b2a4970783

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6962653245b7bd4ad461da1fc48b6fc0d9141f34b3b21ed4fcc05a1e31259f9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-29T09:51:10Z",
    "title_canon_sha256": "d9fb289f0d39e29114cc71dbd9910c8882ecc44585c6a5171d9f462797643981"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7503",
    "kind": "arxiv",
    "version": 1
  }
}