Pith Number

pith:MJGGHO3Y

pith:2015:MJGGHO3YQXPYGC7DPKSV2ENX7U

not attested not anchored not stored refs pending

Hypergeometric series, modular linear differential equations, and vector-valued modular forms

Cameron Franc, Geoffrey Mason

arxiv:1503.05519 v1 · 2015-03-18 · 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{MJGGHO3YQXPYGC7DPKSV2ENX7U}

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

2 papers in Pith

Quasi-Characters for three-character Rational Conformal Field Theories

Updating the holomorphic modular bootstrap

Receipt and verification

First computed	2026-05-18T02:21:26.170489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

624c63bb7885df830be37aa55d11b7fd0ba2d183a038284411243b0ab76fbf35

Aliases

arxiv: 1503.05519 · arxiv_version: 1503.05519v1 · doi: 10.48550/arxiv.1503.05519 · pith_short_12: MJGGHO3YQXPY · pith_short_16: MJGGHO3YQXPYGC7D · pith_short_8: MJGGHO3Y

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/MJGGHO3YQXPYGC7DPKSV2ENX7U \
  | 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: 624c63bb7885df830be37aa55d11b7fd0ba2d183a038284411243b0ab76fbf35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "244ef314203c5812684864b8498d8ac1dc1709cf1477af9f4d07dd3c6234bce2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-18T18:07:01Z",
    "title_canon_sha256": "64184928f5f3a3c6a811152c843979c40b07af07e864973908c364d7d373d264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05519",
    "kind": "arxiv",
    "version": 1
  }
}