Pith Number

pith:2XLPI6OG

pith:2014:2XLPI6OGXECDEW7WO32NHPUISE

not attested not anchored not stored refs pending

Existential Second-Order Logic Over Graphs: A Complete Complexity-Theoretic Classification

Till Tantau

arxiv:1412.6396 v1 · 2014-12-19 · 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{2XLPI6OGXECDEW7WO32NHPUISE}

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	2026-05-18T02:30:53.590872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5d6f479c6b904325bf676f4d3be889109af3b284ff4ec232b425542eb21dd59

Aliases

arxiv: 1412.6396 · arxiv_version: 1412.6396v1 · doi: 10.48550/arxiv.1412.6396 · pith_short_12: 2XLPI6OGXECD · pith_short_16: 2XLPI6OGXECDEW7W · pith_short_8: 2XLPI6OG

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/2XLPI6OGXECDEW7WO32NHPUISE \
  | 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: d5d6f479c6b904325bf676f4d3be889109af3b284ff4ec232b425542eb21dd59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32bde4c29420f40de08a94442ad54ee8cfd3a939fc33dbe1fafc5842d6234fc0",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2014-12-19T15:51:33Z",
    "title_canon_sha256": "be617242d7780e998899946d0f7ded42d12f9f5589f2f085fdadce7d599301f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6396",
    "kind": "arxiv",
    "version": 1
  }
}