Pith Number

pith:Y4KU5LPD

pith:2018:Y4KU5LPDRNSSHNAIFJFAM5UPHH

not attested not anchored not stored refs pending

Partition Recurrences

Andrew V. Sills, Louis W. Kolitsch, Yuriy Choliy

arxiv:1811.09206 v1 · 2018-11-22 · 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{Y4KU5LPDRNSSHNAIFJFAM5UPHH}

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	2026-05-18T00:00:03.932784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7154eade38b6523b4082a4a06768f39f9ebf07694581345f31d9017749db597

Aliases

arxiv: 1811.09206 · arxiv_version: 1811.09206v1 · doi: 10.48550/arxiv.1811.09206 · pith_short_12: Y4KU5LPDRNSS · pith_short_16: Y4KU5LPDRNSSHNAI · pith_short_8: Y4KU5LPD

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/Y4KU5LPDRNSSHNAIFJFAM5UPHH \
  | 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: c7154eade38b6523b4082a4a06768f39f9ebf07694581345f31d9017749db597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b4f45d301faa661e6a3ce2f23262fa640a69aa400ae100772f712f9e17df74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-22T15:19:57Z",
    "title_canon_sha256": "89864941532e28c0e2a99b3d1eb1a71088442a7ed70b3bb1ff0b7042747ed32e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09206",
    "kind": "arxiv",
    "version": 1
  }
}