Pith Number

pith:Z7LEN2CE

pith:1999:Z7LEN2CEGGD3PKHUYRBQIFVAH6

not attested not anchored not stored refs pending

Geometric quantization and mirror symmetry

Andrei Tyurin (Steklov Inst., Moscow, Univ. of Warwick)

arxiv:math/9902027 v1 · 1999-02-04 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7LEN2CEGGD3PKHUYRBQIFVAH6}

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

1 paper in Pith

Integral-integral affine geometry, geometric quantization, and Riemann-Roch

Receipt and verification

First computed	2026-07-04T14:40:57.129447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfd646e8443187b7a8f4c4430416a03fbbff137bb5ffe02ad54fba6c1ab5dfd8

Aliases

arxiv: math/9902027 · arxiv_version: math/9902027v1 · doi: 10.48550/arxiv.math/9902027 · pith_short_12: Z7LEN2CEGGD3 · pith_short_16: Z7LEN2CEGGD3PKHU · pith_short_8: Z7LEN2CE

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/Z7LEN2CEGGD3PKHUYRBQIFVAH6 \
  | 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: cfd646e8443187b7a8f4c4430416a03fbbff137bb5ffe02ad54fba6c1ab5dfd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf0235a0c1e1073c1ef0eaf5b7c1ab59fbe4d5c4f59b4dcba9034981f7483bb4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-02-04T00:01:10Z",
    "title_canon_sha256": "1dafd3028d49f96e95c4ae6afed13c65b111f315730fcbc65c8efac3f080197f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9902027",
    "kind": "arxiv",
    "version": 1
  }
}