Pith Number

pith:4AR5T64I

pith:2016:4AR5T64INTWDKLKEG3OBLJIFC5

not attested not anchored not stored refs pending

State complexity of multiple catenation

Bruno Patrou, Jean-Gabriel Luque, Pascal Caron

arxiv:1607.04031 v1 · 2016-07-14 · cs.FL

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AR5T64INTWDKLKEG3OBLJIFC5}

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	2026-05-18T01:11:04.277449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e023d9fb886cec352d4436dc15a505174a70ad3edc19cf89211297cbf5375aec

Aliases

arxiv: 1607.04031 · arxiv_version: 1607.04031v1 · doi: 10.48550/arxiv.1607.04031 · pith_short_12: 4AR5T64INTWD · pith_short_16: 4AR5T64INTWDKLKE · pith_short_8: 4AR5T64I

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/4AR5T64INTWDKLKEG3OBLJIFC5 \
  | 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: e023d9fb886cec352d4436dc15a505174a70ad3edc19cf89211297cbf5375aec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "250ebf0ad3ee3b1d0ca41d9d41563a2a4141de14f96ac25d1469fae87b230e40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2016-07-14T08:37:56Z",
    "title_canon_sha256": "ee903553ca9c201f5e2cdeb50cd54cd3c3cd6faa5de1aa6c96b09b915448e655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04031",
    "kind": "arxiv",
    "version": 1
  }
}