Pith Number

pith:JHTQYMIV

pith:2016:JHTQYMIVDUQO4XDHV3QEGN46K6

not attested not anchored not stored refs pending

On cubic Hodge integrals and random matrices

Boris Dubrovin, Di Yang

arxiv:1606.03720 v1 · 2016-06-12 · math-ph · math.AG · 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{JHTQYMIVDUQO4XDHV3QEGN46K6}

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	2026-05-18T01:12:33.222371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49e70c31151d20ee5c67aee043379e57a21ad194e75d0e27e85cf685a0123f71

Aliases

arxiv: 1606.03720 · arxiv_version: 1606.03720v1 · doi: 10.48550/arxiv.1606.03720 · pith_short_12: JHTQYMIVDUQO · pith_short_16: JHTQYMIVDUQO4XDH · pith_short_8: JHTQYMIV

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/JHTQYMIVDUQO4XDHV3QEGN46K6 \
  | 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: 49e70c31151d20ee5c67aee043379e57a21ad194e75d0e27e85cf685a0123f71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "891557ea9813d7e1d36fbf4b2848e1ab2ff17c1773889f6e621b51db50bd6e1f",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-06-12T14:43:51Z",
    "title_canon_sha256": "c40f4074c72a2b60c621a4f00dfef4bcd90d4cffb99d66e083e83a5b7b65f1c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03720",
    "kind": "arxiv",
    "version": 1
  }
}