Pith Number

pith:DWCLNSDO

pith:2017:DWCLNSDOELBSPYTJIFXZ6AL4A6

not attested not anchored not stored refs pending

The Ext algebra of a quantized cycle

Damien Calaque, Julien Grivaux

arxiv:1711.09402 v1 · 2017-11-26 · 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{DWCLNSDOELBSPYTJIFXZ6AL4A6}

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	2026-05-17T23:57:19.615713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d84b6c86e22c327e269416f9f017c079f5bb8642a721e4b51f072c1fa3afba7

Aliases

arxiv: 1711.09402 · arxiv_version: 1711.09402v1 · doi: 10.48550/arxiv.1711.09402 · pith_short_12: DWCLNSDOELBS · pith_short_16: DWCLNSDOELBSPYTJ · pith_short_8: DWCLNSDO

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/DWCLNSDOELBSPYTJIFXZ6AL4A6 \
  | 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: 1d84b6c86e22c327e269416f9f017c079f5bb8642a721e4b51f072c1fa3afba7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "905ebe68c6144df73eda65d15ab89a20229bc83feb7561db5f9a9b0208fabff0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-11-26T15:17:27Z",
    "title_canon_sha256": "36ce5d2cac707a9ece17f597c9220e3e9cbf344060ea01fa1d3d62d17e094ac2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09402",
    "kind": "arxiv",
    "version": 1
  }
}