Pith Number

pith:LNXIBIY5

pith:2012:LNXIBIY5SZI3IEWS45NMIOO4TI

not attested not anchored not stored refs pending

Methods of computing deque sortable permutations given complete and incomplete information

Daniel Denton

arxiv:1208.1532 v1 · 2012-08-07 · math.CO · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNXIBIY5SZI3IEWS45NMIOO4TI}

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	2026-05-18T03:48:45.993794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b6e80a31d9651b412d2e75ac439dc9a2593055840a6eb8f4d018db3e9df0320

Aliases

arxiv: 1208.1532 · arxiv_version: 1208.1532v1 · doi: 10.48550/arxiv.1208.1532 · pith_short_12: LNXIBIY5SZI3 · pith_short_16: LNXIBIY5SZI3IEWS · pith_short_8: LNXIBIY5

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/LNXIBIY5SZI3IEWS45NMIOO4TI \
  | 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: 5b6e80a31d9651b412d2e75ac439dc9a2593055840a6eb8f4d018db3e9df0320

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "993080b6cb8361bf16ac5c28176f19144203d07eb5e8208dabf36a5163c48a51",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-07T21:39:37Z",
    "title_canon_sha256": "93216491e644c889ae24554eee500fd23a9df92295bcddef843d2c6303564660"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1532",
    "kind": "arxiv",
    "version": 1
  }
}