Pith Number

pith:ASXADSLW

pith:2012:ASXADSLWN4THH2R7IJLP2GSDR2

not attested not anchored not stored refs pending

Maximum size of reverse-free sets of permutations

Josef Cibulka

arxiv:1208.2847 v3 · 2012-08-14 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ASXADSLWN4THH2R7IJLP2GSDR2}

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	2026-05-18T03:07:41.325730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04ae01c9766f2673ea3f4256fd1a438eb5a71c3a726a9c604987884b8d90189b

Aliases

arxiv: 1208.2847 · arxiv_version: 1208.2847v3 · doi: 10.48550/arxiv.1208.2847 · pith_short_12: ASXADSLWN4TH · pith_short_16: ASXADSLWN4THH2R7 · pith_short_8: ASXADSLW

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/ASXADSLWN4THH2R7IJLP2GSDR2 \
  | 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: 04ae01c9766f2673ea3f4256fd1a438eb5a71c3a726a9c604987884b8d90189b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c5769192f63b0ea3f5313f545ec6c8d6fd0f8890a881bbdcf37e1530feff0b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-14T12:38:57Z",
    "title_canon_sha256": "f8e019e25a832db03af7e3e7518924a8c22185f7624ccad578d4e887da8d9ad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2847",
    "kind": "arxiv",
    "version": 3
  }
}