Pith Number

pith:RY6LMC37

pith:2012:RY6LMC374Z72TRD4B6IYBOZ4FO

not attested not anchored not stored refs pending

Crucial and bicrucial permutations with respect to arithmetic monotone patterns

Alexandr Valyuzhenich, Sergey Avgustinovich, Sergey Kitaev

arxiv:1210.2621 v1 · 2012-10-09 · 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{RY6LMC374Z72TRD4B6IYBOZ4FO}

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	2026-05-18T03:43:41.101302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e3cb60b7fe67fa9c47c0f9180bb3c2b849340b5201d45b7b1c8c7af34a20e5d

Aliases

arxiv: 1210.2621 · arxiv_version: 1210.2621v1 · doi: 10.48550/arxiv.1210.2621 · pith_short_12: RY6LMC374Z72 · pith_short_16: RY6LMC374Z72TRD4 · pith_short_8: RY6LMC37

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/RY6LMC374Z72TRD4B6IYBOZ4FO \
  | 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: 8e3cb60b7fe67fa9c47c0f9180bb3c2b849340b5201d45b7b1c8c7af34a20e5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a764113638985c7e0fd66abd76ebb0f873ad916e32070cc0ccfd0f7e6d119dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-09T14:51:57Z",
    "title_canon_sha256": "addf13fae5e80f424504696ccce6a12e8c46ea1c1e575a5cdb59bbccdd1a0a6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2621",
    "kind": "arxiv",
    "version": 1
  }
}