Pith Number

pith:YOH2H5HV

pith:2009:YOH2H5HVDU5KR3ZCCAC3XLEMLG

not attested not anchored not stored refs pending

From formulas to cirquents in computability logic

Department of Co), Giorgi Japaridze (School of Computer Science, Shandong University, Technology

arxiv:0906.2154 v7 · 2009-06-11 · cs.LO · cs.AI · cs.CC · 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{YOH2H5HVDU5KR3ZCCAC3XLEMLG}

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	2026-05-18T01:37:40.356977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c38fa3f4f51d3aa8ef221005bbac8c59a40ac676df59001631140f3c9ee96e25

Aliases

arxiv: 0906.2154 · arxiv_version: 0906.2154v7 · doi: 10.48550/arxiv.0906.2154 · pith_short_12: YOH2H5HVDU5K · pith_short_16: YOH2H5HVDU5KR3ZC · pith_short_8: YOH2H5HV

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/YOH2H5HVDU5KR3ZCCAC3XLEMLG \
  | 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: c38fa3f4f51d3aa8ef221005bbac8c59a40ac676df59001631140f3c9ee96e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1743981b2307f2c83b3e06167a9edbb2aebf7c0d2f8a881bc379f2c10f0f540b",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CC",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2009-06-11T16:34:51Z",
    "title_canon_sha256": "0a2d19fec2d956110636e1beb22f1136314efbfbad7e3d676954d446ec2a0f8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2154",
    "kind": "arxiv",
    "version": 7
  }
}