Pith Number

pith:WKYLJUEG

pith:2016:WKYLJUEGBIZKFEVOK23XF23SUQ

not attested not anchored not stored refs pending

Acyclicity and reduction

Dominique Lecomte

arxiv:1607.04010 v1 · 2016-07-14 · math.LO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKYLJUEGBIZKFEVOK23XF23SUQ}

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	2026-05-18T01:11:04.324808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2b0b4d0860a32a292ae56b772eb72a4028090c6cd5b5ea2e2d2425c6fc0ff16

Aliases

arxiv: 1607.04010 · arxiv_version: 1607.04010v1 · doi: 10.48550/arxiv.1607.04010 · pith_short_12: WKYLJUEGBIZK · pith_short_16: WKYLJUEGBIZKFEVO · pith_short_8: WKYLJUEG

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/WKYLJUEGBIZKFEVOK23XF23SUQ \
  | 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: b2b0b4d0860a32a292ae56b772eb72a4028090c6cd5b5ea2e2d2425c6fc0ff16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4f1a2d2c97b250168cd79ec16fa91b207856338ea78539bc3f9df77c2a5e3d6",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-07-14T06:43:17Z",
    "title_canon_sha256": "645beef695391639fe15898051acbf4713620f1317a006d99c09f37a8995a7c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04010",
    "kind": "arxiv",
    "version": 1
  }
}