Pith Number

pith:6KV4XNSL

pith:2012:6KV4XNSL7JTKN3OOVGJCSP5CG4

not attested not anchored not stored refs pending

Topological interpretations of provability logic

David Gabelaia, Lev Beklemishev

arxiv:1210.7317 v1 · 2012-10-27 · math.LO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6KV4XNSL7JTKN3OOVGJCSP5CG4}

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	2026-05-18T03:42:10.510072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2abcbb64bfa66a6edcea992293fa23729edb47acf033758ffd82b864764601a

Aliases

arxiv: 1210.7317 · arxiv_version: 1210.7317v1 · doi: 10.48550/arxiv.1210.7317 · pith_short_12: 6KV4XNSL7JTK · pith_short_16: 6KV4XNSL7JTKN3OO · pith_short_8: 6KV4XNSL

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/6KV4XNSL7JTKN3OOVGJCSP5CG4 \
  | 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: f2abcbb64bfa66a6edcea992293fa23729edb47acf033758ffd82b864764601a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4753e7c4755a39f322602319342e15dffb6dfd3e9dce863e8a840770cf47b29",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-10-27T12:38:52Z",
    "title_canon_sha256": "0dea331e3aa3f6f60c276e412cf2989b167ed6e0a72415c1f0f8aa23056f00c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7317",
    "kind": "arxiv",
    "version": 1
  }
}