Pith Number

pith:5AQ7PZAW

pith:2025:5AQ7PZAWZSRVLBL3KUETHMXA45

not attested not anchored not stored refs pending

Nim on Integer Partitions and Hyperrectangles

Eric Gottlieb, Matja\v{z} Krnc, Peter Mur\v{s}i\v{c}

arxiv:2506.04991 v1 · 2025-06-05 · 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{5AQ7PZAWZSRVLBL3KUETHMXA45}

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	2026-07-05T11:16:40.333282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e821f7e416cca355857b550933b2e0e77ada0f2788dd74c16104bbfa1629a3cc

Aliases

arxiv: 2506.04991 · arxiv_version: 2506.04991v1 · doi: 10.48550/arxiv.2506.04991 · pith_short_12: 5AQ7PZAWZSRV · pith_short_16: 5AQ7PZAWZSRVLBL3 · pith_short_8: 5AQ7PZAW

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/5AQ7PZAWZSRVLBL3KUETHMXA45 \
  | 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: e821f7e416cca355857b550933b2e0e77ada0f2788dd74c16104bbfa1629a3cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64a20da7a822128129bfe674bc79be093bbfcc47a248ab20f64e5d5d3c07510d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-05T13:02:23Z",
    "title_canon_sha256": "6422d1cf400107a63569ea32fa4c47fe18bf056b6577326510f6f65114eb772f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04991",
    "kind": "arxiv",
    "version": 1
  }
}