Pith Number

pith:63HFDZWD

pith:2013:63HFDZWDK5QYJFCNWRDJLIEDDB

not attested not anchored not stored refs pending

Hurwitz-Hodge integral identities from the cut-and-join equation

Shengmao Zhu, Wei Luo

arxiv:1305.1026 v1 · 2013-05-05 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63HFDZWDK5QYJFCNWRDJLIEDDB}

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	2026-05-18T03:26:24.279987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6ce51e6c3576184944db44695a083184de56e9dc45ed0a5495b5bd2f62f3463

Aliases

arxiv: 1305.1026 · arxiv_version: 1305.1026v1 · doi: 10.48550/arxiv.1305.1026 · pith_short_12: 63HFDZWDK5QY · pith_short_16: 63HFDZWDK5QYJFCN · pith_short_8: 63HFDZWD

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/63HFDZWDK5QYJFCNWRDJLIEDDB \
  | 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: f6ce51e6c3576184944db44695a083184de56e9dc45ed0a5495b5bd2f62f3463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f86264f9b2ff01f9eb9ab14427b983bd101a47f5f918741147b1c9d4f45b103a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-05T16:35:11Z",
    "title_canon_sha256": "5adeeb6a172a6548e0fbea92db3a929830fd24347f113ea70ba316f4e632cc6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1026",
    "kind": "arxiv",
    "version": 1
  }
}