Pith Number

pith:GRFIKVNM

pith:2014:GRFIKVNMET2HXYBGHPFJF42ZPN

not attested not anchored not stored refs pending

Circular Proofs for G\"odel-L\"ob Logic

Daniyar Shamkanov

arxiv:1401.4002 v1 · 2014-01-16 · 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{GRFIKVNMET2HXYBGHPFJF42ZPN}

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	2026-05-18T02:30:15.749752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

344a8555ac24f47be0263bca92f3597b6bceef4391930176cf9bed3a48aa04b6

Aliases

arxiv: 1401.4002 · arxiv_version: 1401.4002v1 · doi: 10.48550/arxiv.1401.4002 · pith_short_12: GRFIKVNMET2H · pith_short_16: GRFIKVNMET2HXYBG · pith_short_8: GRFIKVNM

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/GRFIKVNMET2HXYBGHPFJF42ZPN \
  | 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: 344a8555ac24f47be0263bca92f3597b6bceef4391930176cf9bed3a48aa04b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c80026f641e6c9d19dbbbade4928c071547ec239d45d974ce76f0cf30225e15",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-01-16T12:06:40Z",
    "title_canon_sha256": "8bdecab196f35e1e88cdd95f63a2a3cf804fe21fbd25f53dfd7025c1c5a839b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4002",
    "kind": "arxiv",
    "version": 1
  }
}