Pith Number

pith:NFTKBU75

pith:2025:NFTKBU75RSHWYQ4ZCDIEHFNVTV

not attested not anchored not stored refs pending

The sliding tile puzzle, roots to polynomials, and $\textbf{P}$ vs. $\textbf{NP}$ complexity

Roy Burson

arxiv:2501.10480 v1 · 2025-01-17 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFTKBU75RSHWYQ4ZCDIEHFNVTV}

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	2026-07-05T10:02:28.511719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6966a0d3fd8c8f6c439910d04395b59d643f37a98503be75651d9e68a118cad3

Aliases

arxiv: 2501.10480 · arxiv_version: 2501.10480v1 · doi: 10.48550/arxiv.2501.10480 · pith_short_12: NFTKBU75RSHW · pith_short_16: NFTKBU75RSHWYQ4Z · pith_short_8: NFTKBU75

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/NFTKBU75RSHWYQ4ZCDIEHFNVTV \
  | 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: 6966a0d3fd8c8f6c439910d04395b59d643f37a98503be75651d9e68a118cad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba11314195d3c396f9284e6fe7f02deb60f5a0b3917d8a68e6ce884f2f5b54fc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-01-17T00:11:48Z",
    "title_canon_sha256": "eab210e5b3819582f6e0cd678b917120e31d73067fb7297e7cdd83f42cf90996"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.10480",
    "kind": "arxiv",
    "version": 1
  }
}