Pith Number

pith:YC4RMQJ5

pith:2014:YC4RMQJ52JOQXJHXJ65IA3OC3L

not attested not anchored not stored refs pending

Frobenius manifolds, Integrable Hierarchies and Minimal Liouville Gravity

A.A. Belavin, V.A. Belavin

arxiv:1406.6661 v2 · 2014-06-25 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YC4RMQJ52JOQXJHXJ65IA3OC3L}

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	2026-05-18T01:42:50.309552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0b916413dd25d0ba4f74fba806dc2daf2d3919a800327e2fb9db31f31de12c6

Aliases

arxiv: 1406.6661 · arxiv_version: 1406.6661v2 · doi: 10.48550/arxiv.1406.6661 · pith_short_12: YC4RMQJ52JOQ · pith_short_16: YC4RMQJ52JOQXJHX · pith_short_8: YC4RMQJ5

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/YC4RMQJ52JOQXJHXJ65IA3OC3L \
  | 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: c0b916413dd25d0ba4f74fba806dc2daf2d3919a800327e2fb9db31f31de12c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "401ed0b133d0177d51e35469b1b0e68b3951aedc386031c4addc227069fbc5a2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-06-25T18:47:53Z",
    "title_canon_sha256": "073d0af0d5a2883dac936ff1bad76530051432b96d7beaecec2723adbb699e2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6661",
    "kind": "arxiv",
    "version": 2
  }
}