Pith Number

pith:BZPRGOSM

pith:2015:BZPRGOSMMLC5J6766ISHLWQWFR

not attested not anchored not stored refs pending

Ramifications of Hurwitz theory, KP integrability and quantum curves

A. Alexandrov, D. Lewanski, S. Shadrin

arxiv:1512.07026 v3 · 2015-12-22 · math-ph · hep-th · math.AG · math.CO · 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{BZPRGOSMMLC5J6766ISHLWQWFR}

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	2026-05-18T00:37:48.735000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e5f133a4c62c5d4fbfef22475da162c4db37a7495dc21142121e4a6e26ac24c

Aliases

arxiv: 1512.07026 · arxiv_version: 1512.07026v3 · doi: 10.48550/arxiv.1512.07026 · pith_short_12: BZPRGOSMMLC5 · pith_short_16: BZPRGOSMMLC5J676 · pith_short_8: BZPRGOSM

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/BZPRGOSMMLC5J6766ISHLWQWFR \
  | 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: 0e5f133a4c62c5d4fbfef22475da162c4db37a7495dc21142121e4a6e26ac24c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aae4598c05dc6e4035ee6fc3e6d3401316e360fb8022f5061a18fcc34b4653c2",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-22T10:48:05Z",
    "title_canon_sha256": "dc4f12277e6429709202f62bd6a11bce601d563aa806891b629d7a007c2755f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07026",
    "kind": "arxiv",
    "version": 3
  }
}