Pith Number

pith:IGRUFF7G

pith:2026:IGRUFF7G6W4CFW5OHGKRCUT7SN

not attested not anchored not stored refs pending

Self-Referential $K$-SAT and the Finite Analogue of G\"odel's Incompleteness Theorem

Jie Luo, Jun Liu, Ke Xu, Wen Fang, Xianxian Li, Yongxin Tong

arxiv:2607.01671 v1 · 2026-07-02 · cs.CC · cs.DS · cs.IT · cs.LO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGRUFF7G6W4CFW5OHGKRCUT7SN}

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	2026-07-03T01:17:26.286140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41a34297e6f5b822dbae399511527f9375f61a6cbaf0e1dc2c0f14c2e6fdb921

Aliases

arxiv: 2607.01671 · arxiv_version: 2607.01671v1 · doi: 10.48550/arxiv.2607.01671 · pith_short_12: IGRUFF7G6W4C · pith_short_16: IGRUFF7G6W4CFW5O · pith_short_8: IGRUFF7G

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/IGRUFF7G6W4CFW5OHGKRCUT7SN \
  | 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: 41a34297e6f5b822dbae399511527f9375f61a6cbaf0e1dc2c0f14c2e6fdb921

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e00ba91d94421c4956602ced148b71277844fbba1fb12412869d0f75f55f5067",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.IT",
      "cs.LO",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-07-02T03:52:23Z",
    "title_canon_sha256": "842ce12c1ca7b9766c0ffee709c5c676b6e328b1ff322f63a3734bb88ee795ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01671",
    "kind": "arxiv",
    "version": 1
  }
}