Pith Number

pith:ZJPRC37K

pith:2012:ZJPRC37KATLMRXV6TZHLJ57MJ3

not attested not anchored not stored refs pending

Refined enumeration of permutations sorted with two stacks and a D_8-symmetry

Mathilde Bouvel, Olivier Guibert

arxiv:1210.5967 v2 · 2012-10-22 · 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{ZJPRC37KATLMRXV6TZHLJ57MJ3}

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	2026-05-18T03:42:33.466938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca5f116fea04d6c8debe9e4eb4f7ec4edc004e8998eabbc04b7d1b0596fb7ef0

Aliases

arxiv: 1210.5967 · arxiv_version: 1210.5967v2 · doi: 10.48550/arxiv.1210.5967 · pith_short_12: ZJPRC37KATLM · pith_short_16: ZJPRC37KATLMRXV6 · pith_short_8: ZJPRC37K

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/ZJPRC37KATLMRXV6TZHLJ57MJ3 \
  | 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: ca5f116fea04d6c8debe9e4eb4f7ec4edc004e8998eabbc04b7d1b0596fb7ef0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c771b7612ed97b0305af220be5ee7f30803dd57f931f5807ccc7b91e5b1b939",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-22T16:44:27Z",
    "title_canon_sha256": "90b94f3e6c8dc4920fb0d7be642a63330661b988fc20de1ec8c132c4eb8f6bc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5967",
    "kind": "arxiv",
    "version": 2
  }
}