Pith Number

pith:FOZYORPS

pith:2011:FOZYORPSOEGF3ND7QOAAWA6RGU

not attested not anchored not stored refs pending

Matrix factorizations and Cohomological Field Theories

Alexander Polishchuk, Arkady Vaintrob

arxiv:1105.2903 v4 · 2011-05-14 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOZYORPSOEGF3ND7QOAAWA6RGU}

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	2026-05-18T02:53:05.052078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bb38745f2710c5db47f83800b03d1353627e4c76655a70f5e4cce51e2e22b5a

Aliases

arxiv: 1105.2903 · arxiv_version: 1105.2903v4 · doi: 10.48550/arxiv.1105.2903 · pith_short_12: FOZYORPSOEGF · pith_short_16: FOZYORPSOEGF3ND7 · pith_short_8: FOZYORPS

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/FOZYORPSOEGF3ND7QOAAWA6RGU \
  | 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: 2bb38745f2710c5db47f83800b03d1353627e4c76655a70f5e4cce51e2e22b5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f4e84a5ef5359f5c222c36e71a7988df74f70d6344eb41a1380cd6445a792e3",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-14T15:34:17Z",
    "title_canon_sha256": "0cd05f4742e8d6ec4e90c3419d370f03da47e47662955428d6922a183b4bf477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2903",
    "kind": "arxiv",
    "version": 4
  }
}