Pith Number

pith:R6P5ENQX

pith:2002:R6P5ENQXOVI3P5WSYB66BNTWXP

not attested not anchored not stored refs pending

Toric Residues and Mirror Symmetry

Evgeny N. Materov, Victor V. Batyrev

arxiv:math/0203216 v2 · 2002-03-20 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6P5ENQXOVI3P5WSYB66BNTWXP}

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

A Vafa-Intriligator formula for semi-positive quotients of linear spaces

Receipt and verification

First computed	2026-07-04T14:35:59.541384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f9fd236177551b7f6d2c07de0b676bbf4dff0b5d04b85cc8b6b2ff79eeff261

Aliases

arxiv: math/0203216 · arxiv_version: math/0203216v2 · doi: 10.48550/arxiv.math/0203216 · pith_short_12: R6P5ENQXOVI3 · pith_short_16: R6P5ENQXOVI3P5WS · pith_short_8: R6P5ENQX

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/R6P5ENQXOVI3P5WSYB66BNTWXP \
  | 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: 8f9fd236177551b7f6d2c07de0b676bbf4dff0b5d04b85cc8b6b2ff79eeff261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "346d8a8a63e2a363d4cf4ec775af0c1e611f9a98681ef35cdc3bc933b9d2560d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-03-20T22:19:30Z",
    "title_canon_sha256": "a7ac1f93bcabe8e9e4388672165ca35932b52908f2b7cd3d4e173c0cae51febe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0203216",
    "kind": "arxiv",
    "version": 2
  }
}