Pith Number

pith:SIOTOAAK

pith:2006:SIOTOAAKVLXL4NTQOTNAL5TCE2

not attested not anchored not stored refs pending

Short Proofs for Cut-and-Paste Sorting of Permutations

Daniel Cranston, Douglas B. West, I. Hal Sudborough

arxiv:math/0605084 v1 · 2006-05-03 · 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{SIOTOAAKVLXL4NTQOTNAL5TCE2}

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	2026-05-18T04:11:08.914081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

921d37000aaaeebe367074da05f66226aa0cc12bcd600b801a3d791150434f9a

Aliases

arxiv: math/0605084 · arxiv_version: math/0605084v1 · doi: 10.48550/arxiv.math/0605084 · pith_short_12: SIOTOAAKVLXL · pith_short_16: SIOTOAAKVLXL4NTQ · pith_short_8: SIOTOAAK

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/SIOTOAAKVLXL4NTQOTNAL5TCE2 \
  | 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: 921d37000aaaeebe367074da05f66226aa0cc12bcd600b801a3d791150434f9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83e20530128013f09ec3c15575a592e342868458a48791041cdf15fbf0a475f4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-05-03T08:22:31Z",
    "title_canon_sha256": "c83e8e8f12e2e62071ae853b0a77f401871b42d6d4e1eb14f24df427e8e23008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605084",
    "kind": "arxiv",
    "version": 1
  }
}