Pith Number

pith:TJVRWKGR

pith:1995:TJVRWKGRCDX2NORNCAGPZEFCP4

not attested not anchored not stored refs pending

Quantum Cohomology of a Product

M. Kontsevich, R. Kaufmann, Yu. Manin

arxiv:q-alg/9502009 v1 · 1995-02-13 · q-alg · alg-geom · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJVRWKGRCDX2NORNCAGPZEFCP4}

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	2026-07-04T15:59:54.848344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a6b1b28d110efa6ba2d100cfc90a27f329c3e287f5dc6b1031b2fc677443095

Aliases

arxiv: q-alg/9502009 · arxiv_version: q-alg/9502009v1 · doi: 10.48550/arxiv.q-alg/9502009 · pith_short_12: TJVRWKGRCDX2 · pith_short_16: TJVRWKGRCDX2NORN · pith_short_8: TJVRWKGR

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/TJVRWKGRCDX2NORNCAGPZEFCP4 \
  | 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: 9a6b1b28d110efa6ba2d100cfc90a27f329c3e287f5dc6b1031b2fc677443095

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "100f5f5fd7ed382bfd8b65a0fdbf0abc31c6efef4a028e607b16ce8f44625646",
    "cross_cats_sorted": [
      "alg-geom",
      "math.AG",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1995-02-13T12:29:35Z",
    "title_canon_sha256": "adf38718ee63ab6363b859da8ef96f3c913c553e57661add9499ea99a4cb323c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9502009",
    "kind": "arxiv",
    "version": 1
  }
}