Pith Number

pith:TFTTY2B2

pith:2013:TFTTY2B24GG265IUYMZ5WIPGHS

not attested not anchored not stored refs pending

Quantum spectral curve for the Gromov-Witten theory of the complex projective line

Alexandr Popolitov, Motohico Mulase, Paul Norbury, Petr Dunin-Barkowski, Sergey Shadrin

arxiv:1312.5336 v2 · 2013-12-18 · math-ph · math.AG · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFTTY2B24GG265IUYMZ5WIPGHS}

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	2026-05-18T00:37:49.109958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99673c683ae18daf7514c333db21e63c8d73c0eb2792178bfb2c0a06dbbf4781

Aliases

arxiv: 1312.5336 · arxiv_version: 1312.5336v2 · doi: 10.48550/arxiv.1312.5336 · pith_short_12: TFTTY2B24GG2 · pith_short_16: TFTTY2B24GG265IU · pith_short_8: TFTTY2B2

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/TFTTY2B24GG265IUYMZ5WIPGHS \
  | 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: 99673c683ae18daf7514c333db21e63c8d73c0eb2792178bfb2c0a06dbbf4781

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29149039d551a1e8d6e2b45b4bad5042288882e48c64ce8e03917e0f67b36eea",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-18T21:05:07Z",
    "title_canon_sha256": "5ea4d571b8bd48eb216a70642715d6bbb27b3a180d2b4987909b5dbb58880d18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5336",
    "kind": "arxiv",
    "version": 2
  }
}