Pith Number

pith:2KHTQR7P

pith:2013:2KHTQR7PRGDQKHOUQC3Z7V4BDD

not attested not anchored not stored refs pending

The theory of vector-modular forms for the modular group

Terry Gannon

arxiv:1310.4458 v1 · 2013-10-16 · math.NT · hep-th · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KHTQR7PRGDQKHOUQC3Z7V4BDD}

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.

Cited by

3 papers in Pith

Signs, growth and admissibility of quasi-characters and the holomorphic modular bootstrap for RCFT

Quasi-Characters for three-character Rational Conformal Field Theories

Updating the holomorphic modular bootstrap

Receipt and verification

First computed	2026-05-18T03:10:14.975726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d28f3847ef8987051dd480b79fd78118c1f918c1348ccc1b0201e1a56080bf39

Aliases

arxiv: 1310.4458 · arxiv_version: 1310.4458v1 · doi: 10.48550/arxiv.1310.4458 · pith_short_12: 2KHTQR7PRGDQ · pith_short_16: 2KHTQR7PRGDQKHOU · pith_short_8: 2KHTQR7P

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/2KHTQR7PRGDQKHOUQC3Z7V4BDD \
  | 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: d28f3847ef8987051dd480b79fd78118c1f918c1348ccc1b0201e1a56080bf39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5739f9a4bd1208b28f76c7640c84ce3eeb8c978b3727f7b37b8a9a86ffe24185",
    "cross_cats_sorted": [
      "hep-th",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-16T17:37:09Z",
    "title_canon_sha256": "ad3a41aaef38540bce28793ae5098042dbb4533df26657667078d186db3b80f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4458",
    "kind": "arxiv",
    "version": 1
  }
}