Pith Number

pith:A5N67YHR

pith:2015:A5N67YHRSZZP4VDSO3YQ2A475G

not attested not anchored not stored refs pending

Algebraic and transcendental formulas for the smallest parts function

Nickolas Andersen, Scott Ahlgren

arxiv:1504.02500 v3 · 2015-04-09 · 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{A5N67YHRSZZP4VDSO3YQ2A475G}

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	2026-05-18T01:19:38.782033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

075befe0f19672fe547276f10d039fe9960f462decd486164e7e35adcc669762

Aliases

arxiv: 1504.02500 · arxiv_version: 1504.02500v3 · doi: 10.48550/arxiv.1504.02500 · pith_short_12: A5N67YHRSZZP · pith_short_16: A5N67YHRSZZP4VDS · pith_short_8: A5N67YHR

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/A5N67YHRSZZP4VDSO3YQ2A475G \
  | 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: 075befe0f19672fe547276f10d039fe9960f462decd486164e7e35adcc669762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c963922fb6372f5fa01b2cc5488462d42b5eae49906a6d4b3e2b8b85a3a22793",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-09T21:11:43Z",
    "title_canon_sha256": "993c28d1ce1c66128f0d8179f6eb87f8e4a91aafe58dd09e80ec140d36018ed1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02500",
    "kind": "arxiv",
    "version": 3
  }
}