Pith Number

pith:C5HU5UNZ

pith:2016:C5HU5UNZJOLORMIKTJYAB7M6JG

not attested not anchored not stored refs pending

Transformation properties for Dyson's rank function

Frank Garvan

arxiv:1601.05781 v2 · 2016-01-21 · 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{C5HU5UNZJOLORMIKTJYAB7M6JG}

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	2026-05-18T01:04:55.991274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

174f4ed1b94b96e8b10a9a7000fd9e4986ec5e0b25d55597df4bfc4c28d35e83

Aliases

arxiv: 1601.05781 · arxiv_version: 1601.05781v2 · doi: 10.48550/arxiv.1601.05781 · pith_short_12: C5HU5UNZJOLO · pith_short_16: C5HU5UNZJOLORMIK · pith_short_8: C5HU5UNZ

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/C5HU5UNZJOLORMIKTJYAB7M6JG \
  | 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: 174f4ed1b94b96e8b10a9a7000fd9e4986ec5e0b25d55597df4bfc4c28d35e83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "069c6b515f00359a18bd45a9b52343cfa0f09ddb72af41006eac1626edf56457",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-21T20:50:15Z",
    "title_canon_sha256": "f46a55812cc7939c860b32631306981f4db593a8bb3b637c4240dc480e8b7c6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05781",
    "kind": "arxiv",
    "version": 2
  }
}