Pith Number

pith:MT5EUDAH

pith:2013:MT5EUDAHYHUBDRHKADQVQIZERV

not attested not anchored not stored refs pending

Topological completeness of logics above S4

David Gabelaia, Guram Bezhanisevili, Joel Lucero-Bryan

arxiv:1311.2178 v1 · 2013-11-09 · 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{MT5EUDAHYHUBDRHKADQVQIZERV}

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	2026-05-18T03:07:33.300956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64fa4a0c07c1e811c4ea00e15823248d6f3b2336578bf12103d45fd803337bb2

Aliases

arxiv: 1311.2178 · arxiv_version: 1311.2178v1 · doi: 10.48550/arxiv.1311.2178 · pith_short_12: MT5EUDAHYHUB · pith_short_16: MT5EUDAHYHUBDRHK · pith_short_8: MT5EUDAH

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/MT5EUDAHYHUBDRHKADQVQIZERV \
  | 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: 64fa4a0c07c1e811c4ea00e15823248d6f3b2336578bf12103d45fd803337bb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "502438e6eb4de2f70f78b897242975e4b5643e7ba5ebf712965c8303fcb7b544",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-11-09T15:06:05Z",
    "title_canon_sha256": "08b03bea95e13765fd84ce8f672bc57be3632f8afd60ac92d8d29c307a447ada"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2178",
    "kind": "arxiv",
    "version": 1
  }
}