Pith Number

pith:WFYD7QEP

pith:2010:WFYD7QEPDXY6MQXRK6KBWBOADR

not attested not anchored not stored refs pending

State Complexity of Testing Divisibility

Emilie Charlier, Laurent Waxweiler, Michel Rigo, Narad Rampersad

arxiv:1008.1668 v1 · 2010-08-10 · 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{WFYD7QEPDXY6MQXRK6KBWBOADR}

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	2026-05-18T04:42:23.525557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1703fc08f1df1e642f157941b05c01c7f706809df15a8e90f631782e45056f5

Aliases

arxiv: 1008.1668 · arxiv_version: 1008.1668v1 · doi: 10.48550/arxiv.1008.1668 · pith_short_12: WFYD7QEPDXY6 · pith_short_16: WFYD7QEPDXY6MQXR · pith_short_8: WFYD7QEP

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/WFYD7QEPDXY6MQXRK6KBWBOADR \
  | 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: b1703fc08f1df1e642f157941b05c01c7f706809df15a8e90f631782e45056f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eccace28b01b809066b23235987d30d60abbd9c4e5858c14c5ebbbba864c94b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2010-08-10T08:35:10Z",
    "title_canon_sha256": "8b6ff2a4f84086a1f83f2e5949da310275289ce081827d24d954294595f2d19f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1668",
    "kind": "arxiv",
    "version": 1
  }
}