Pith Number

pith:JGIJYF2F

pith:2011:JGIJYF2FDMVTSNAZIQILWCULNQ

not attested not anchored not stored refs pending

Pattern Avoidability with Involution

Bastian Bischoff (Institute for Formal Methods in Computer Science, Dirk Nowotka (Institute for Formal Methods in Computer Science, Universit\"at Stuttgart)

arxiv:1108.3622 v1 · 2011-08-18 · cs.FL · cs.DM · 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{JGIJYF2FDMVTSNAZIQILWCULNQ}

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	2026-05-18T04:15:15.720818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49909c17451b2b3934194410bb0a8b6c33423c051fafd98bd0861a42146577d7

Aliases

arxiv: 1108.3622 · arxiv_version: 1108.3622v1 · doi: 10.48550/arxiv.1108.3622 · pith_short_12: JGIJYF2FDMVT · pith_short_16: JGIJYF2FDMVTSNAZ · pith_short_8: JGIJYF2F

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/JGIJYF2FDMVTSNAZIQILWCULNQ \
  | 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: 49909c17451b2b3934194410bb0a8b6c33423c051fafd98bd0861a42146577d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c899121eb38cec966e046f3ecc6ec682b16b946881f62dab8beffa11618293e",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2011-08-18T03:52:46Z",
    "title_canon_sha256": "02add61f458057ecc7598b2d36c7a4fae9a868c7a98449301a6bdf51c3cbd9d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3622",
    "kind": "arxiv",
    "version": 1
  }
}