Pith Number

pith:VSZDWR4H

pith:2006:VSZDWR4HWPVLZTAQO4JQRHPP2V

not attested not anchored not stored refs pending

Calabi-Yau algebras

Victor Ginzburg

arxiv:math/0612139 v3 · 2006-12-06 · math.AG · hep-th · math.CT · math.QA · 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{VSZDWR4HWPVLZTAQO4JQRHPP2V}

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.

Cited by

6 papers in Pith

The Derived Auslander-Iyama Correspondence

Machine Learning Toric Duality in Brane Tilings

Quiver Yangians as Coulomb branch algebras

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications

Some faithful algebraic braid twist group actions for 3-fold crepant resolutions

Receipt and verification

First computed	2026-07-04T14:58:35.575953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acb23b4787b3eabccc107713089defd544bdb24136b5bf01da61f52021f915af

Aliases

arxiv: math/0612139 · arxiv_version: math/0612139v3 · doi: 10.48550/arxiv.math/0612139 · pith_short_12: VSZDWR4HWPVL · pith_short_16: VSZDWR4HWPVLZTAQ · pith_short_8: VSZDWR4H

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/VSZDWR4HWPVLZTAQO4JQRHPP2V \
  | 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: acb23b4787b3eabccc107713089defd544bdb24136b5bf01da61f52021f915af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "657c8fccf3ceafb84a50cd66397b12db966e5e1b28e471b37e4515d654d725a1",
    "cross_cats_sorted": [
      "hep-th",
      "math.CT",
      "math.QA",
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-12-06T05:07:21Z",
    "title_canon_sha256": "7e3f9b21d0304c90bcc7bb376656d38efc82cb071dec93a1e2e8971bf4d20928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612139",
    "kind": "arxiv",
    "version": 3
  }
}