Pith Number

pith:53IM5UV6

pith:2019:53IM5UV6KUAK6CTCSRDBMNMKAA

not attested not anchored not stored refs pending

A simple combinatorial proof for small model property of two-variable logic

Tony Tan, Yanger Ma

arxiv:1908.07239 v2 · 2019-08-20 · cs.LO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53IM5UV6KUAK6CTCSRDBMNMKAA}

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	2026-07-05T01:07:11.175706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed0ced2be5500af0a62944616358a00141ff26f23b2da4c288d1a7513c4b808

Aliases

arxiv: 1908.07239 · arxiv_version: 1908.07239v2 · doi: 10.48550/arxiv.1908.07239 · pith_short_12: 53IM5UV6KUAK · pith_short_16: 53IM5UV6KUAK6CTC · pith_short_8: 53IM5UV6

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/53IM5UV6KUAK6CTCSRDBMNMKAA \
  | 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: eed0ced2be5500af0a62944616358a00141ff26f23b2da4c288d1a7513c4b808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c4de02274f2421ae9414653cc0750e41616cec5fe298fdd81a083f156bf75f4",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2019-08-20T09:31:55Z",
    "title_canon_sha256": "1ad4c17994db8b1c97ce888d9b1ea027566e9b9bd82e1c6c1ad6d7b1495a7ba1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07239",
    "kind": "arxiv",
    "version": 2
  }
}