Pith Number

pith:MVE2OZTH

pith:2017:MVE2OZTHLRX4DKEJTA4MEBM7FV

not attested not anchored not stored refs pending

A syntactic tool for proving hardness in the Second Level of the Polynomial-Time Hierarchy

Edwin Pin, Nerio Borges

arxiv:1707.09327 v1 · 2017-07-28 · 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{MVE2OZTHLRX4DKEJTA4MEBM7FV}

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	2026-05-18T00:39:11.643483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6549a766675c6fc1a8899838c2059f2d7c178fc1fb5f665325c5395a0cab7759

Aliases

arxiv: 1707.09327 · arxiv_version: 1707.09327v1 · doi: 10.48550/arxiv.1707.09327 · pith_short_12: MVE2OZTHLRX4 · pith_short_16: MVE2OZTHLRX4DKEJ · pith_short_8: MVE2OZTH

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/MVE2OZTHLRX4DKEJTA4MEBM7FV \
  | 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: 6549a766675c6fc1a8899838c2059f2d7c178fc1fb5f665325c5395a0cab7759

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42345741c9b3b52d4a925ec97ab654f620547bd9debe424d7c3ec989a82c5b3a",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2017-07-28T16:55:42Z",
    "title_canon_sha256": "1369fa5e017819428f7a56dad8508e94d852411bc1235e7d576ddad2271f23fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09327",
    "kind": "arxiv",
    "version": 1
  }
}