Pith Number

pith:2ZC5FJFT

pith:2013:2ZC5FJFTEU2GLE2C4472BICJ2B

not attested not anchored not stored refs pending

Classification of congruences for mock theta functions and weakly holomorphic modular forms

Nickolas Andersen

arxiv:1307.0169 v1 · 2013-06-30 · 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{2ZC5FJFTEU2GLE2C4472BICJ2B}

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	2026-05-18T02:18:52.044415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d645d2a4b32534659342e73fa0a049d058f1325f21d865701f75415db1c501db

Aliases

arxiv: 1307.0169 · arxiv_version: 1307.0169v1 · doi: 10.48550/arxiv.1307.0169 · pith_short_12: 2ZC5FJFTEU2G · pith_short_16: 2ZC5FJFTEU2GLE2C · pith_short_8: 2ZC5FJFT

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/2ZC5FJFTEU2GLE2C4472BICJ2B \
  | 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: d645d2a4b32534659342e73fa0a049d058f1325f21d865701f75415db1c501db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8f01135ae6941adcaf880893dcb6d0172daeefb40d5668f5024869bc9510eb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-30T02:00:25Z",
    "title_canon_sha256": "f31de827f898f82bda5fdcb96382228b42911719d8599c124a69f6c329d5c0ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0169",
    "kind": "arxiv",
    "version": 1
  }
}