Pith Number

pith:FIT3Z43S

pith:2025:FIT3Z43SNFQJO4LFETJGGFBOGC

not attested not anchored not stored refs pending

Virasoro constraints for Hodge integrals

Xin Wang

arxiv:2506.10033 v1 · 2025-06-10 · 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{FIT3Z43SNFQJO4LFETJGGFBOGC}

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	2026-07-05T11:20:38.623272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a27bcf372696097716524d263142e30a13ff17a16bba78c40381348f1271b79

Aliases

arxiv: 2506.10033 · arxiv_version: 2506.10033v1 · doi: 10.48550/arxiv.2506.10033 · pith_short_12: FIT3Z43SNFQJ · pith_short_16: FIT3Z43SNFQJO4LF · pith_short_8: FIT3Z43S

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/FIT3Z43SNFQJO4LFETJGGFBOGC \
  | 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: 2a27bcf372696097716524d263142e30a13ff17a16bba78c40381348f1271b79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82462201adc111e276b1a852faefb66d51d75d92ad6ccc39311a1a7761f823b1",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-06-10T13:01:09Z",
    "title_canon_sha256": "66add4115b3da46c9e781e90eeda66ca19fa8c2b0f38fd7c787f6ac8d9a87310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.10033",
    "kind": "arxiv",
    "version": 1
  }
}