Pith Number

pith:7GO3ARJD

pith:2011:7GO3ARJDMRJJJQJ6AS47KGIZZU

not attested not anchored not stored refs pending

From IF to BI: a tale of dependence and separation

Jouko Vaananen, Samson Abramsky

arxiv:1102.1388 v1 · 2011-02-07 · 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{7GO3ARJDMRJJJQJ6AS47KGIZZU}

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	2026-05-18T02:22:39.996121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f99db04523645294c13e04b9f51919cd315b9f219eeee0d7745cd350f57ec7eb

Aliases

arxiv: 1102.1388 · arxiv_version: 1102.1388v1 · doi: 10.48550/arxiv.1102.1388 · pith_short_12: 7GO3ARJDMRJJ · pith_short_16: 7GO3ARJDMRJJJQJ6 · pith_short_8: 7GO3ARJD

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/7GO3ARJDMRJJJQJ6AS47KGIZZU \
  | 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: f99db04523645294c13e04b9f51919cd315b9f219eeee0d7745cd350f57ec7eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d033e1fd2c0b2d5df6cb83407441c790fdde23c325d4a15f1922aef13e18f5ee",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-02-07T18:39:44Z",
    "title_canon_sha256": "7150af116057c46de78c6c3403dd3ceeff77f8fc99f67f096a9cc50f62916a50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1388",
    "kind": "arxiv",
    "version": 1
  }
}