Pith Number

pith:2OLLLXKY

pith:2012:2OLLLXKYHZJNIPEOK63ZPYZGQT

not attested not anchored not stored refs pending

Hoops, Coops and the Algebraic Semantics of Continuous Logic

Paulo Oliva, Rob Arthan

arxiv:1212.2887 v1 · 2012-12-12 · 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{2OLLLXKYHZJNIPEOK63ZPYZGQT}

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	2026-05-18T03:38:35.047232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d396b5dd583e52d43c8e57b797e32684d615d6334ad171d03b91776332ddbbe9

Aliases

arxiv: 1212.2887 · arxiv_version: 1212.2887v1 · doi: 10.48550/arxiv.1212.2887 · pith_short_12: 2OLLLXKYHZJN · pith_short_16: 2OLLLXKYHZJNIPEO · pith_short_8: 2OLLLXKY

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/2OLLLXKYHZJNIPEOK63ZPYZGQT \
  | 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: d396b5dd583e52d43c8e57b797e32684d615d6334ad171d03b91776332ddbbe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fda6e0dada997867b842e63e1eee45147c7233e656d4db48755c5350d48c6bb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-12-12T17:07:02Z",
    "title_canon_sha256": "8b9032cf4614338e6a5862e171ee45541fecd0a21490125e39f1b770203e0f1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2887",
    "kind": "arxiv",
    "version": 1
  }
}