Pith Number

pith:54SH654T

pith:2026:54SH654TAXO4U2UULDQ67MMN6W

not attested not anchored not stored refs pending

Vertex operator algebras, partition functions and Teichm\"{u}ller modular forms

Giulio Codogni, Sebastiano Carpi

arxiv:2605.26972 v1 · 2026-05-26 · math.QA · hep-th · 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{54SH654TAXO4U2UULDQ67MMN6W}

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	2026-05-27T01:06:22.174363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef247f779305ddca6a9458e1efb18df5a2c2fb510421aff883c6c7944e195a2d

Aliases

arxiv: 2605.26972 · arxiv_version: 2605.26972v1 · doi: 10.48550/arxiv.2605.26972 · pith_short_12: 54SH654TAXO4 · pith_short_16: 54SH654TAXO4U2UU · pith_short_8: 54SH654T

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/54SH654TAXO4U2UULDQ67MMN6W \
  | 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: ef247f779305ddca6a9458e1efb18df5a2c2fb510421aff883c6c7944e195a2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12de9506c7d677286cdfeb53f7fb22caf1f20f217cbb506ef6b1df0ac92f3a84",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-05-26T12:58:04Z",
    "title_canon_sha256": "6dbd49a1da869cd8a3dfc8c6bce49d6b3065542c8c76aeb9e14b48b89786c0e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26972",
    "kind": "arxiv",
    "version": 1
  }
}