Pith Number

pith:O5UJD67R

pith:2024:O5UJD67R6E6LWCOIXBJHK4HMCO

not attested not anchored not stored refs pending

Distributions of mesh patterns of short lengths on king permutations

Dan Li, Philip B. Zhang

arxiv:2411.18131 v1 · 2024-11-27 · 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{O5UJD67R6E6LWCOIXBJHK4HMCO}

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	2026-07-05T09:41:12.263068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

776891fbf1f13cbb09c8b8527570ec13b34397b67a4927d84c8d63f8296731da

Aliases

arxiv: 2411.18131 · arxiv_version: 2411.18131v1 · doi: 10.48550/arxiv.2411.18131 · pith_short_12: O5UJD67R6E6L · pith_short_16: O5UJD67R6E6LWCOI · pith_short_8: O5UJD67R

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/O5UJD67R6E6LWCOIXBJHK4HMCO \
  | 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: 776891fbf1f13cbb09c8b8527570ec13b34397b67a4927d84c8d63f8296731da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca27070d1b8cfd09ace1ba83c006ac158dd402fed032946565b372e044b9fdce",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-27T08:23:11Z",
    "title_canon_sha256": "58f2709577487a43b044650146279cf28d4840b7db30a7f14da2a419b3f97b6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.18131",
    "kind": "arxiv",
    "version": 1
  }
}