Pith Number

pith:RUZBHS2Q

pith:2016:RUZBHS2QXJIPELAZRM2VSQ3C72

not attested not anchored not stored refs pending

Hodge-GUE correspondence and the discrete KdV equation

Boris Dubrovin, Di Yang, Si-Qi Liu, Youjin Zhang

arxiv:1612.02333 v2 · 2016-12-07 · 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{RUZBHS2QXJIPELAZRM2VSQ3C72}

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	2026-05-18T00:02:13.722860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d3213cb50ba50f22c198b35594362fe9de790890d03042610eb7f363b44b655

Aliases

arxiv: 1612.02333 · arxiv_version: 1612.02333v2 · doi: 10.48550/arxiv.1612.02333 · pith_short_12: RUZBHS2QXJIP · pith_short_16: RUZBHS2QXJIPELAZ · pith_short_8: RUZBHS2Q

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/RUZBHS2QXJIPELAZRM2VSQ3C72 \
  | 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: 8d3213cb50ba50f22c198b35594362fe9de790890d03042610eb7f363b44b655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "330d7b727c023a3d5a1629a5acb9a912f57eb239af527c9f480361150449ea5c",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-07T17:06:12Z",
    "title_canon_sha256": "75b23e5ea89baf312db86eea82dfa9d7e4c1a7a956884c6af46a91b3df8de121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02333",
    "kind": "arxiv",
    "version": 2
  }
}