Pith Number

pith:L2S4WZ2Z

pith:2012:L2S4WZ2ZPNFPCJDUMILHBMY3SO

not attested not anchored not stored refs pending

Seiberg-Witten equations and non-commutative spectral curves in Liouville theory

Bertrand Eynard, Leonid Chekhov, Sylvain Ribault

arxiv:1209.3984 v2 · 2012-09-18 · 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{L2S4WZ2ZPNFPCJDUMILHBMY3SO}

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	2026-05-18T03:32:19.884451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ea5cb67597b4af12474621670b31b93b26d84813c5160d38921201917867160

Aliases

arxiv: 1209.3984 · arxiv_version: 1209.3984v2 · doi: 10.48550/arxiv.1209.3984 · pith_short_12: L2S4WZ2ZPNFP · pith_short_16: L2S4WZ2ZPNFPCJDU · pith_short_8: L2S4WZ2Z

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/L2S4WZ2ZPNFPCJDUMILHBMY3SO \
  | 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: 5ea5cb67597b4af12474621670b31b93b26d84813c5160d38921201917867160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "063a867c37944319e5b4e2fee21405705780a6982ce5349414860adce6486ba6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-09-18T15:07:47Z",
    "title_canon_sha256": "3fa6065bbe4eee8a69803acd1a9940814478b7dc9ef7afd437f2d626569ae510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3984",
    "kind": "arxiv",
    "version": 2
  }
}