Pith Number

pith:2TWZ62I7

pith:2006:2TWZ62I7CPZQVLHEL2GHRZW4Z4

not attested not anchored not stored refs pending

Well quasi-orders and the shuffle closure of finite sets

Flavio D'Alessandro, Gw\'ena\"el Richomme (LaRIA), Stefano Varrichio

arxiv:cs/0607082 v1 · 2006-07-18 · 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{2TWZ62I7CPZQVLHEL2GHRZW4Z4}

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	2026-05-18T01:08:54.561440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4ed9f691f13f30aace45e8c78e6dccf11960cb6b8ce3fcd9489ac13a1dab325

Aliases

arxiv: cs/0607082 · arxiv_version: cs/0607082v1 · doi: 10.48550/arxiv.cs/0607082 · pith_short_12: 2TWZ62I7CPZQ · pith_short_16: 2TWZ62I7CPZQVLHE · pith_short_8: 2TWZ62I7

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/2TWZ62I7CPZQVLHEL2GHRZW4Z4 \
  | 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: d4ed9f691f13f30aace45e8c78e6dccf11960cb6b8ce3fcd9489ac13a1dab325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd377c992d96a13a1c6f271b9fb98f55026a590c4383d9fb1ea2df3e57eeb026",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.DM",
    "submitted_at": "2006-07-18T05:30:52Z",
    "title_canon_sha256": "e40ccfb47a2e1ccd0595f575a24480455476fdf6ac8b9db8859644ad7b329f88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0607082",
    "kind": "arxiv",
    "version": 1
  }
}