Pith Number

pith:6THWNT7C

pith:2003:6THWNT7CPYX4ULPD3P4TENH5LH

not attested not anchored not stored refs pending

Toric reduction and a conjecture of Batyrev and Materov

Andras Szenes, Michele Vergne

arxiv:math/0306311 v2 · 2003-06-20 · math.AT · 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{6THWNT7CPYX4ULPD3P4TENH5LH}

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

2 papers in Pith

Localisation of $\mathcal{N} = (2,2)$ theories on spindles of both twists

Receipt and verification

First computed	2026-07-04T16:41:40.838956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4cf66cfe27e2fca2de3dbf93234fd59dad0f378337f81029ea11b1776a70ee6

Aliases

arxiv: math/0306311 · arxiv_version: math/0306311v2 · doi: 10.48550/arxiv.math/0306311 · pith_short_12: 6THWNT7CPYX4 · pith_short_16: 6THWNT7CPYX4ULPD · pith_short_8: 6THWNT7C

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/6THWNT7CPYX4ULPD3P4TENH5LH \
  | 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: f4cf66cfe27e2fca2de3dbf93234fd59dad0f378337f81029ea11b1776a70ee6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7709db6f955b9bfa520c19cf4b4fd7a5778ecfbae1e455abba66e35f8f372fba",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2003-06-20T23:31:03Z",
    "title_canon_sha256": "a4cea665ce1db099c1a8f9d0b21da17fcfaf27367686b28a9fe7f11f5d146a95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306311",
    "kind": "arxiv",
    "version": 2
  }
}