Pith Number

pith:D7SVOYS5

pith:2019:D7SVOYS5TTPCRTQDMGKJR42HFL

not attested not anchored not stored refs pending

New fifth and seventh order mock theta function identities

Frank Garvan

arxiv:1907.04803 v1 · 2019-07-10 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D7SVOYS5TTPCRTQDMGKJR42HFL}

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	2026-05-17T23:40:56.692970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fe557625d9cde28ce03619498f3472ac87de9504538ae3cd3b9b34a4cc78e96

Aliases

arxiv: 1907.04803 · arxiv_version: 1907.04803v1 · doi: 10.48550/arxiv.1907.04803 · pith_short_12: D7SVOYS5TTPC · pith_short_16: D7SVOYS5TTPCRTQD · pith_short_8: D7SVOYS5

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/D7SVOYS5TTPCRTQDMGKJR42HFL \
  | 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: 1fe557625d9cde28ce03619498f3472ac87de9504538ae3cd3b9b34a4cc78e96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ea570c819a33710265f0a90eae372a2e714e216daaaa6f98f7e44a7934de241",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-10T15:40:43Z",
    "title_canon_sha256": "78b4191656077c9213a3dd3db0a337cbf16408b800cec002af176a376b6d453a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04803",
    "kind": "arxiv",
    "version": 1
  }
}