Pith Number

pith:JRNH4TQQ

pith:2010:JRNH4TQQ6MRMV2SUR7ZVS74D7U

not attested not anchored not stored refs pending

Centrosymmetric Permutations and Involutions Avoiding 1243 and 2143

Mark F. Flanagan, Matteo Silimbani

arxiv:1002.1229 v3 · 2010-02-05 · 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{JRNH4TQQ6MRMV2SUR7ZVS74D7U}

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	2026-05-18T02:24:39.124324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c5a7e4e10f322caea548ff3597f83fd09bf592f6e22d56759b5780cefa24a33

Aliases

arxiv: 1002.1229 · arxiv_version: 1002.1229v3 · doi: 10.48550/arxiv.1002.1229 · pith_short_12: JRNH4TQQ6MRM · pith_short_16: JRNH4TQQ6MRMV2SU · pith_short_8: JRNH4TQQ

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/JRNH4TQQ6MRMV2SUR7ZVS74D7U \
  | 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: 4c5a7e4e10f322caea548ff3597f83fd09bf592f6e22d56759b5780cefa24a33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fbd7d49753066ddb8cd9d9409cd9d0ac1236712bf3f3a9c0556cec3289dab3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-02-05T14:20:53Z",
    "title_canon_sha256": "acfeab92de2f0d364aeeadd82a3d281bb373060c0cc35d8246fd66b3668835e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1229",
    "kind": "arxiv",
    "version": 3
  }
}