Pith Number

pith:NZP2FQE2

pith:2022:NZP2FQE2CFR3VYVP5WZRWNBJQV

not attested not anchored not stored refs pending

Parity Property of Hexagonal Sliding Puzzles

Erika Roldan, Ray Karpman

arxiv:2201.00919 v1 · 2022-01-04 · math.CO · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZP2FQE2CFR3VYVP5WZRWNBJQV}

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.

Cited by

1 paper in Pith

Approximately Optimal Search on a Higher-dimensional Sliding Puzzle

Receipt and verification

First computed	2026-07-05T03:45:14.181063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e5fa2c09a1163bae2afedb31b3429855a02b9eebac219fa2d179325edb504e7

Aliases

arxiv: 2201.00919 · arxiv_version: 2201.00919v1 · doi: 10.48550/arxiv.2201.00919 · pith_short_12: NZP2FQE2CFR3 · pith_short_16: NZP2FQE2CFR3VYVP · pith_short_8: NZP2FQE2

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/NZP2FQE2CFR3VYVP5WZRWNBJQV \
  | 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: 6e5fa2c09a1163bae2afedb31b3429855a02b9eebac219fa2d179325edb504e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a8bb1769218b7681deb7865418715971bc5dbf062443dbccc87121c205069ad",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-01-04T00:36:30Z",
    "title_canon_sha256": "28f8bf71869c3a8f78795c30ae1ef8fcfba52fe4b9ea0008786c85c98b642c88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.00919",
    "kind": "arxiv",
    "version": 1
  }
}