Pith Number

pith:JPETI65G

pith:2013:JPETI65GHLGHCTOZB3L4RTA2EX

not attested not anchored not stored refs pending

Hierarchies in independence logic

Juha Kontinen, Miika Hannula, Pietro Galliani

arxiv:1304.4391 v1 · 2013-04-16 · math.LO · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPETI65GHLGHCTOZB3L4RTA2EX}

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	2026-05-18T03:27:53.228264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bc9347ba63acc714dd90ed7c8cc1a25cbe4e04ed9401cec53b704f1ace5c580

Aliases

arxiv: 1304.4391 · arxiv_version: 1304.4391v1 · doi: 10.48550/arxiv.1304.4391 · pith_short_12: JPETI65GHLGH · pith_short_16: JPETI65GHLGHCTOZ · pith_short_8: JPETI65G

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/JPETI65GHLGHCTOZB3L4RTA2EX \
  | 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: 4bc9347ba63acc714dd90ed7c8cc1a25cbe4e04ed9401cec53b704f1ace5c580

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "927e364aa5cc7a6b678d63bad9c4e44f8d1a4928fe21dd3715c059ccaff510cb",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-04-16T10:43:10Z",
    "title_canon_sha256": "11e359818032fb005ee5280ccd38765ffe5c7cb0c7490a402df5520c75e9232e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4391",
    "kind": "arxiv",
    "version": 1
  }
}