Pith Number

pith:3KWY2WWU

pith:2007:3KWY2WWUNI4UJ6JO5FVEL4Z6XW

not attested not anchored not stored refs pending

Vector-valued modular functions for the modular group and the hypergeometric equation

P. Bantay, T. Gannon

arxiv:0705.2467 v1 · 2007-05-17 · math.NT · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KWY2WWUNI4UJ6JO5FVEL4Z6XW}

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	2026-07-04T15:01:25.773899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daad8d5ad46a3944f92ee96a45f33ebd995e22392deed46af145136045b174bd

Aliases

arxiv: 0705.2467 · arxiv_version: 0705.2467v1 · doi: 10.48550/arxiv.0705.2467 · pith_short_12: 3KWY2WWUNI4U · pith_short_16: 3KWY2WWUNI4UJ6JO · pith_short_8: 3KWY2WWU

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/3KWY2WWUNI4UJ6JO5FVEL4Z6XW \
  | 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: daad8d5ad46a3944f92ee96a45f33ebd995e22392deed46af145136045b174bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "293c2339b6b4ee1fd49beb69efdc45d9436ca2bfae366b81c12a88acfb17c543",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-05-17T01:56:08Z",
    "title_canon_sha256": "847a8cdd240ec19a0aabc1abab1c7a56a9f96933011140ab18e5a0c50395a8f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2467",
    "kind": "arxiv",
    "version": 1
  }
}