Pith Number

pith:GTF4Q7CR

pith:2011:GTF4Q7CRIEGXKVT5X4OCAX4ECG

not attested not anchored not stored refs pending

Proof theory of weak compactness

Toshiyasu Arai

arxiv:1111.0462 v7 · 2011-11-02 · math.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{GTF4Q7CRIEGXKVT5X4OCAX4ECG}

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	2026-05-18T03:28:30.690185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34cbc87c51410d75567dbf1c205f84119ff96b689d687672d3f7715b56c8c2c8

Aliases

arxiv: 1111.0462 · arxiv_version: 1111.0462v7 · doi: 10.48550/arxiv.1111.0462 · pith_short_12: GTF4Q7CRIEGX · pith_short_16: GTF4Q7CRIEGXKVT5 · pith_short_8: GTF4Q7CR

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/GTF4Q7CRIEGXKVT5X4OCAX4ECG \
  | 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: 34cbc87c51410d75567dbf1c205f84119ff96b689d687672d3f7715b56c8c2c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51333fa796ba59cc5eda049841bb4af1a8aba09e1b20c7993a4a1cfb3cc11d96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-11-02T11:23:22Z",
    "title_canon_sha256": "b242aca8a1d1c8ec7e0e408b3c9d14c36cc453a2f2cbacf132b2f7579d49fa7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0462",
    "kind": "arxiv",
    "version": 7
  }
}