Pith Number

pith:NL4J3M2L

pith:2023:NL4J3M2LXSYXGRNMEV53VMPNFY

not attested not anchored not stored refs pending

Partitions into powers of an algebraic number

Mikul\'a\v{s} Zindulka, V\'it\v{e}zslav Kala

arxiv:2305.16688 v2 · 2023-05-26 · 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{NL4J3M2LXSYXGRNMEV53VMPNFY}

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	2026-07-05T08:20:50.172871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6af89db34bbcb17345ac257bbab1ed2e1d6785ff2541087420c58bbd4012098b

Aliases

arxiv: 2305.16688 · arxiv_version: 2305.16688v2 · doi: 10.48550/arxiv.2305.16688 · pith_short_12: NL4J3M2LXSYX · pith_short_16: NL4J3M2LXSYXGRNM · pith_short_8: NL4J3M2L

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/NL4J3M2LXSYXGRNMEV53VMPNFY \
  | 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: 6af89db34bbcb17345ac257bbab1ed2e1d6785ff2541087420c58bbd4012098b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ed1fe2b9f04c3d7775b701b543818df93b74550b20ee3f2dc2fb9b67e2dda35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-05-26T07:19:45Z",
    "title_canon_sha256": "0196e3fbf3eb55e0fcbdcab4f8bddcfe1a26375b0c779d054ba4d8ae170b4264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.16688",
    "kind": "arxiv",
    "version": 2
  }
}