Pith Number

pith:BKS7TSTQ

pith:2016:BKS7TSTQP3FRX2DT3PDAXBFEXV

not attested not anchored not stored refs pending

On Quantified Propositional Logics and the Exponential Time Hierarchy

Jonni Virtema (Department of Mathematics, Juha Kontinen (Department of Mathematics, Leibniz Universit\"at Hannover), Martin L\"uck (Institut f\"ur Theoretische Informatik, Miika Hannula (Department of Computer Science, Statistics, The University of Auckland), University of Helsinki)

arxiv:1609.04097 v1 · 2016-09-14 · 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{BKS7TSTQP3FRX2DT3PDAXBFEXV}

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	2026-05-18T01:04:39.030650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa5f9ca707ecb1be873dbc60b84a4bd6bb7e5e9f4ed22208e90f7096f54cc04

Aliases

arxiv: 1609.04097 · arxiv_version: 1609.04097v1 · doi: 10.48550/arxiv.1609.04097 · pith_short_12: BKS7TSTQP3FR · pith_short_16: BKS7TSTQP3FRX2DT · pith_short_8: BKS7TSTQ

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/BKS7TSTQP3FRX2DT3PDAXBFEXV \
  | 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: 0aa5f9ca707ecb1be873dbc60b84a4bd6bb7e5e9f4ed22208e90f7096f54cc04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "683c245355cbaad66a006978911e99cc1210c35af4cd769cf9809f144dad06be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-09-14T00:59:36Z",
    "title_canon_sha256": "9fa06d68983a5f72cc53eb1b789e90bd1df1eebacc1f06accdd656ed444a9018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04097",
    "kind": "arxiv",
    "version": 1
  }
}