Pith Number

pith:WRAJLCTP

pith:2015:WRAJLCTPHO3Y5LWDEL25SXI33I

not attested not anchored not stored refs pending

Finite-Degree Predicates and Two-Variable First-Order Logic

Charles Paperman

arxiv:1507.05175 v2 · 2015-07-18 · 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{WRAJLCTPHO3Y5LWDEL25SXI33I}

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	2026-05-18T01:36:08.960001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b440958a6f3bb78eaec322f5d95d1bda1bf8f8d2ca1e1f576656d4fe91565d4c

Aliases

arxiv: 1507.05175 · arxiv_version: 1507.05175v2 · doi: 10.48550/arxiv.1507.05175 · pith_short_12: WRAJLCTPHO3Y · pith_short_16: WRAJLCTPHO3Y5LWD · pith_short_8: WRAJLCTP

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/WRAJLCTPHO3Y5LWDEL25SXI33I \
  | 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: b440958a6f3bb78eaec322f5d95d1bda1bf8f8d2ca1e1f576656d4fe91565d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f112d6e32c4d3c693f810ac2d3d4fbe9351ad54fc07f84b7112f2955e55d9bc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-07-18T11:54:48Z",
    "title_canon_sha256": "9488493284bc9be93ad1a3eff9c98e7be0c53496fd66a434c07751c81e9f075a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05175",
    "kind": "arxiv",
    "version": 2
  }
}