Pith Number

pith:4HZC74FL

pith:1996:4HZC74FL2WRX4H7JUJ66S4HUSC

not attested not anchored not stored refs pending

A lecture on Arithmetic Mirror Symmetry and Calabi-Yau manifolds

Valeri A. Gritsenko, Viacheslav V. Nikulin

arxiv:alg-geom/9612002 v3 · 1996-12-03 · alg-geom · hep-th · math.AG · math.QA · q-alg

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HZC74FL2WRX4H7JUJ66S4HUSC}

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	2026-05-18T02:40:36.922735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1f22ff0abd5a37e1fe9a27de970f490946d58830e96747c6ae3087b771f0b87

Aliases

arxiv: alg-geom/9612002 · arxiv_version: alg-geom/9612002v3 · doi: 10.48550/arxiv.alg-geom/9612002 · pith_short_12: 4HZC74FL2WRX · pith_short_16: 4HZC74FL2WRX4H7J · pith_short_8: 4HZC74FL

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/4HZC74FL2WRX4H7JUJ66S4HUSC \
  | 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: e1f22ff0abd5a37e1fe9a27de970f490946d58830e96747c6ae3087b771f0b87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1485d3742851081d25f52561425d56e856998eaea7ccafbdcd8595c388b0f7fa",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.QA",
      "q-alg"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1996-12-03T11:37:23Z",
    "title_canon_sha256": "2e7b4f80070704f42e53d6dcf05a77dfdfce9071ec9fb78fd795921957eb0ccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9612002",
    "kind": "arxiv",
    "version": 3
  }
}