Pith Number

pith:ADTMUV7B

pith:2009:ADTMUV7BUYOYMXUGSY3O5WTNO4

not attested not anchored not stored refs pending

Direct Proof of Mirror Theorem of Projective Hypersurfaces up to degree 3 Rational Curves

Masao Jinzenji

arxiv:0902.3863 v2 · 2009-02-23 · 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{ADTMUV7BUYOYMXUGSY3O5WTNO4}

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	2026-05-18T04:22:29.927746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00e6ca57e1a61d865e869636eeda6d772059587353dd1f4abcb1a8ef2e4993c9

Aliases

arxiv: 0902.3863 · arxiv_version: 0902.3863v2 · doi: 10.48550/arxiv.0902.3863 · pith_short_12: ADTMUV7BUYOY · pith_short_16: ADTMUV7BUYOYMXUG · pith_short_8: ADTMUV7B

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/ADTMUV7BUYOYMXUGSY3O5WTNO4 \
  | 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: 00e6ca57e1a61d865e869636eeda6d772059587353dd1f4abcb1a8ef2e4993c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c92529ed601687def562b438d1c78026afbf210fbb3b1127fce1feda7d611671",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-02-23T09:01:15Z",
    "title_canon_sha256": "d5d55a782a937d1755e55a02fe0e778c1c7c1cd1c95f713bc759dea6b0602dc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3863",
    "kind": "arxiv",
    "version": 2
  }
}