Pith Number

pith:6US6OSI2

pith:2016:6US6OSI2QFIXVII2ZNNL4KALCZ

not attested not anchored not stored refs pending

The Time Complexity of Permutation Routing via Matching, Token Swapping and a Variant

Jun Kawahara, Ryo Yoshinaka, Toshiki Saitoh

arxiv:1612.02948 v2 · 2016-12-09 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6US6OSI2QFIXVII2ZNNL4KALCZ}

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	2026-05-18T00:35:35.182056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f525e7491a81517aa11acb5abe280b167aa7c335be1981f043f32a6ec6898979

Aliases

arxiv: 1612.02948 · arxiv_version: 1612.02948v2 · doi: 10.48550/arxiv.1612.02948 · pith_short_12: 6US6OSI2QFIX · pith_short_16: 6US6OSI2QFIXVII2 · pith_short_8: 6US6OSI2

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/6US6OSI2QFIXVII2ZNNL4KALCZ \
  | 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: f525e7491a81517aa11acb5abe280b167aa7c335be1981f043f32a6ec6898979

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5db1b97dc7f511e055e8bbd0fb19b7b82ea39f0b953062a9638b10361cbad792",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-12-09T09:08:51Z",
    "title_canon_sha256": "378b7d715b88690c633f1dd4a2c67802a5569bd5e7749b88567eb411c4e7b59e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02948",
    "kind": "arxiv",
    "version": 2
  }
}