Pith Number

pith:YZ4ITIRT

pith:2013:YZ4ITIRT4YHGTSDJMFV5HVFEBM

not attested not anchored not stored refs pending

Untwisting a twisted Calabi-Yau algebra

Jake Goodman, Ulrich Kraehmer

arxiv:1304.0749 v1 · 2013-04-02 · math.QA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YZ4ITIRT4YHGTSDJMFV5HVFEBM}

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	2026-05-18T03:29:14.364210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c67889a233e60e69c869616bd3d4a40b3c7a6e1511542bf020bbffc77a9be9ae

Aliases

arxiv: 1304.0749 · arxiv_version: 1304.0749v1 · doi: 10.48550/arxiv.1304.0749 · pith_short_12: YZ4ITIRT4YHG · pith_short_16: YZ4ITIRT4YHGTSDJ · pith_short_8: YZ4ITIRT

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/YZ4ITIRT4YHGTSDJMFV5HVFEBM \
  | 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: c67889a233e60e69c869616bd3d4a40b3c7a6e1511542bf020bbffc77a9be9ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffca7c23118a9f78c07189f2924e744ac8025e026661df0949f2f88df2eaf9cd",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-04-02T19:34:17Z",
    "title_canon_sha256": "11570d5577fece3707a4b2c0fc6e19ad7c3ed5a2374c8407c1e4ec5044bf82ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0749",
    "kind": "arxiv",
    "version": 1
  }
}