Pith Number

pith:ESBIKSHB

pith:2018:ESBIKSHB6R6TYDWM3BJ2R4LVJJ

not attested not anchored not stored refs pending

On shuffle products, acyclic automata and piecewise-testable languages

Philippe Schnoebelen, Simon Halfon

arxiv:1810.02953 v2 · 2018-10-06 · 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{ESBIKSHB6R6TYDWM3BJ2R4LVJJ}

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	2026-05-17T23:54:53.640794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24828548e1f47d3c0eccd853a8f1754a43002db31ad73e8ff25dd7a236100026

Aliases

arxiv: 1810.02953 · arxiv_version: 1810.02953v2 · doi: 10.48550/arxiv.1810.02953 · pith_short_12: ESBIKSHB6R6T · pith_short_16: ESBIKSHB6R6TYDWM · pith_short_8: ESBIKSHB

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/ESBIKSHB6R6TYDWM3BJ2R4LVJJ \
  | 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: 24828548e1f47d3c0eccd853a8f1754a43002db31ad73e8ff25dd7a236100026

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9600a2cb92d6bcba4479d8ea17463e61f73a746c6dc1222e85b2e54175b144fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2018-10-06T07:55:43Z",
    "title_canon_sha256": "225463009a35215ec44b399d8d66f37eba4133e3e4874ce525bc107591efd677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02953",
    "kind": "arxiv",
    "version": 2
  }
}