Pith Number

pith:5QWX5O4Q

pith:2007:5QWX5O4QT4KQHFNMUHRMEYFNVM

not attested not anchored not stored refs pending

Higher genus Gromov-Witten invariants of the Grassmannian, and the Pfaffian Calabi-Yau threefolds

Shinobu Hosono, Yukiko Konishi

arxiv:0704.2928 v3 · 2007-04-23 · 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{5QWX5O4QT4KQHFNMUHRMEYFNVM}

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 toolkit for twisted chiral superfields

Receipt and verification

First computed	2026-07-04T15:03:03.615180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec2d7ebb909f150395aca1e2c260adab3b96db191a34abc3b40f27609d8f645f

Aliases

arxiv: 0704.2928 · arxiv_version: 0704.2928v3 · doi: 10.48550/arxiv.0704.2928 · pith_short_12: 5QWX5O4QT4KQ · pith_short_16: 5QWX5O4QT4KQHFNM · pith_short_8: 5QWX5O4Q

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/5QWX5O4QT4KQHFNMUHRMEYFNVM \
  | 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: ec2d7ebb909f150395aca1e2c260adab3b96db191a34abc3b40f27609d8f645f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c50d0b95b396fd5d649ab661a467e5d3fc2a16b4fdd7a0eee053907bce9f2ca5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-04-23T06:58:02Z",
    "title_canon_sha256": "dbade9acca0683ea10dab60fb60a2480f708dcefd45c6dab435a70dca6e45d1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.2928",
    "kind": "arxiv",
    "version": 3
  }
}