Pith Number

pith:GWRAQXAN

pith:2016:GWRAQXANY2L64LH2DAGPRH5VXW

not attested not anchored not stored refs pending

Core partitions into distinct parts and an analog of Euler's theorem

Armin Straub

arxiv:1601.07161 v1 · 2016-01-26 · math.CO · 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{GWRAQXANY2L64LH2DAGPRH5VXW}

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	2026-05-18T01:21:57.257763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35a2085c0dc697ee2cfa180cf89fb5bda0425cf7fa7a3ab8a305eacfd008f2bf

Aliases

arxiv: 1601.07161 · arxiv_version: 1601.07161v1 · doi: 10.48550/arxiv.1601.07161 · pith_short_12: GWRAQXANY2L6 · pith_short_16: GWRAQXANY2L64LH2 · pith_short_8: GWRAQXAN

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/GWRAQXANY2L64LH2DAGPRH5VXW \
  | 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: 35a2085c0dc697ee2cfa180cf89fb5bda0425cf7fa7a3ab8a305eacfd008f2bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38d14e4db2790fccc4895b9113e381116f3679871b55bde1d8d8f608196e49b6",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-26T20:49:47Z",
    "title_canon_sha256": "b3581c45732556611379190f7f707630a8e7cc4600a55896c10bb5c0f7d49c80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07161",
    "kind": "arxiv",
    "version": 1
  }
}