Pith Number

pith:TEIGLNUH

pith:2013:TEIGLNUHZPWY7VQTYBB56RXXHM

not attested not anchored not stored refs pending

Flops and the S-duality conjecture

Yukinobu Toda

arxiv:1311.7476 v4 · 2013-11-29 · 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{TEIGLNUHZPWY7VQTYBB56RXXHM}

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	2026-05-18T01:21:45.348438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

991065b687cbed8fd613c043df46f73b24fefa3f8e14ade1c5df8accaf07859e

Aliases

arxiv: 1311.7476 · arxiv_version: 1311.7476v4 · doi: 10.48550/arxiv.1311.7476 · pith_short_12: TEIGLNUHZPWY · pith_short_16: TEIGLNUHZPWY7VQT · pith_short_8: TEIGLNUH

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/TEIGLNUHZPWY7VQTYBB56RXXHM \
  | 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: 991065b687cbed8fd613c043df46f73b24fefa3f8e14ade1c5df8accaf07859e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bcbc4913251fb0ae878c8099f5d92ff90c907da945451489f4d83e9060b2616",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-29T07:49:44Z",
    "title_canon_sha256": "59ed26713d1e8cdb43729ee180f2211ff2a780c6856edd089c77df051c4fa017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7476",
    "kind": "arxiv",
    "version": 4
  }
}