Pith Number

pith:K5PTXPLK

pith:2013:K5PTXPLKSQ3HO7GGN3W2YFSUCP

not attested not anchored not stored refs pending

On the complexity of the closed fragment of Japaridze's provability logic

Fedor Pakhomov

arxiv:1305.6065 v1 · 2013-05-26 · 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{K5PTXPLKSQ3HO7GGN3W2YFSUCP}

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	2026-05-18T03:24:53.042128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

575f3bbd6a9436777cc66eedac165413e3a3ddf6f7e2d57cbbd008d560a488b4

Aliases

arxiv: 1305.6065 · arxiv_version: 1305.6065v1 · doi: 10.48550/arxiv.1305.6065 · pith_short_12: K5PTXPLKSQ3H · pith_short_16: K5PTXPLKSQ3HO7GG · pith_short_8: K5PTXPLK

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/K5PTXPLKSQ3HO7GGN3W2YFSUCP \
  | 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: 575f3bbd6a9436777cc66eedac165413e3a3ddf6f7e2d57cbbd008d560a488b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8556bbf938432ae0f62b2cce9d3dc7d267ffc591a0c2f5af797fd63a6a225b2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-05-26T20:00:06Z",
    "title_canon_sha256": "73f14fa53944cfdc198a71b243ee1fcb3665384216ef3f92efbfbc10a99ddef0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6065",
    "kind": "arxiv",
    "version": 1
  }
}