Pith Number

pith:PFKIMPDG

pith:2013:PFKIMPDGJREKYM2LVT7T2GFZOU

not attested not anchored not stored refs pending

Square-Free Shuffles of Words

Mike M\"uller, Tero Harju

arxiv:1309.2137 v1 · 2013-09-09 · cs.DM · cs.FL · 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{PFKIMPDGJREKYM2LVT7T2GFZOU}

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	2026-05-18T03:13:47.058893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7954863c664c48ac334bacff3d18b9753822b2f5d99ae4aa2dce2e9e0d2737be

Aliases

arxiv: 1309.2137 · arxiv_version: 1309.2137v1 · doi: 10.48550/arxiv.1309.2137 · pith_short_12: PFKIMPDGJREK · pith_short_16: PFKIMPDGJREKYM2L · pith_short_8: PFKIMPDG

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/PFKIMPDGJREKYM2LVT7T2GFZOU \
  | 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: 7954863c664c48ac334bacff3d18b9753822b2f5d99ae4aa2dce2e9e0d2737be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99068d9ba0a99eeb183344774fecdf0628fb2166ff154cdf7115fa52c09082fc",
    "cross_cats_sorted": [
      "cs.FL",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-09-09T12:47:07Z",
    "title_canon_sha256": "1a346c9d42188514181813b2c903e26ad50b46de9e36908381d0da547e4a4edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2137",
    "kind": "arxiv",
    "version": 1
  }
}