Pith Number

pith:5GA5O3JR

pith:2017:5GA5O3JRFHFZLFPCOFS2HIWTBJ

not attested not anchored not stored refs pending

321-avoiding affine permutations and their many heaps

Fr\'ed\'eric Jouhet, Philippe Nadeau, Riccardo Biagioli

arxiv:1710.03568 v1 · 2017-10-10 · 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{5GA5O3JRFHFZLFPCOFS2HIWTBJ}

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	2026-05-18T00:33:11.436049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e981d76d3129cb9595e27165a3a2d30a78ee3fab3a0582033b9d879a49d9f4e1

Aliases

arxiv: 1710.03568 · arxiv_version: 1710.03568v1 · doi: 10.48550/arxiv.1710.03568 · pith_short_12: 5GA5O3JRFHFZ · pith_short_16: 5GA5O3JRFHFZLFPC · pith_short_8: 5GA5O3JR

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/5GA5O3JRFHFZLFPCOFS2HIWTBJ \
  | 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: e981d76d3129cb9595e27165a3a2d30a78ee3fab3a0582033b9d879a49d9f4e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e316f6b1f7081ccd49ba7e4f4ad918a5e262f841a9eadec399ad63b18edd769",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-10T13:27:19Z",
    "title_canon_sha256": "f8bf9e81b14072ba2257b50ca918c97a04e26948c057ce71743f022d4ee71899"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03568",
    "kind": "arxiv",
    "version": 1
  }
}