Pith Number

pith:SNCH5D33

pith:2025:SNCH5D334TLNCUMD5PQ2CVDBCA

not attested not anchored not stored refs pending

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series

Esme Rosen

arxiv:2502.08760 v1 · 2025-02-12 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNCH5D334TLNCUMD5PQ2CVDBCA}

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

1 paper in Pith

Explicit hypergeometric modularity of certain weight two and four Hecke eigenforms

Receipt and verification

First computed	2026-07-05T10:13:29.573587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93447e8f7be4d6d15183ebe1a15461101fbb9cb27f9f200ef0696d63311ac74c

Aliases

arxiv: 2502.08760 · arxiv_version: 2502.08760v1 · doi: 10.48550/arxiv.2502.08760 · pith_short_12: SNCH5D334TLN · pith_short_16: SNCH5D334TLNCUMD · pith_short_8: SNCH5D33

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/SNCH5D334TLNCUMD5PQ2CVDBCA \
  | 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: 93447e8f7be4d6d15183ebe1a15461101fbb9cb27f9f200ef0696d63311ac74c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff3b476f34cc65b629c309a248d24cab5db2a0a18b33e1e9e564e82872860e6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-12T20:06:26Z",
    "title_canon_sha256": "ebc9f0d5a8f882c546a56f2f72110b9341d65a7eedb5f985b41efa59dba1ad14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08760",
    "kind": "arxiv",
    "version": 1
  }
}