Pith Number

pith:3YD55VGY

pith:2014:3YD55VGYUV5CLRZKDIGJ4E2ZDU

not attested not anchored not stored refs pending

Variations on a Generating-Function Theme: Enumerating Compositions with Parts Avoiding an Arithmetic Sequence

Matthias Beck, Neville Robbins

arxiv:1403.0665 v2 · 2014-03-04 · 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{3YD55VGYUV5CLRZKDIGJ4E2ZDU}

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	2026-05-18T01:15:24.145864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de07ded4d8a57a25c72a1a0c9e13591d1c1038dbb11126a1c6733b5a259d0d61

Aliases

arxiv: 1403.0665 · arxiv_version: 1403.0665v2 · doi: 10.48550/arxiv.1403.0665 · pith_short_12: 3YD55VGYUV5C · pith_short_16: 3YD55VGYUV5CLRZK · pith_short_8: 3YD55VGY

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/3YD55VGYUV5CLRZKDIGJ4E2ZDU \
  | 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: de07ded4d8a57a25c72a1a0c9e13591d1c1038dbb11126a1c6733b5a259d0d61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b346a75ccbbdff46dcbad5930de893f9ef0398b4932f4ac88de770c66f8bad3b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-04T02:42:27Z",
    "title_canon_sha256": "05b1cf38f618075014ab7e9474327743191dff1b12d64cd8adf17e4b90c13197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0665",
    "kind": "arxiv",
    "version": 2
  }
}