Pith Number

pith:7WZ22ETF

pith:2018:7WZ22ETFWG3MHHMHULW5WKSY2W

not attested not anchored not stored refs pending

The Polylog-Time Hierarchy Captured by Restricted Second-Order Logic

Flavio Ferrarotti, Jos\'e Mar\'ia Turull-Torres, Klaus-Dieter Schewe, Sen\'en Gonz\'alez

arxiv:1806.07127 v1 · 2018-06-19 · 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{7WZ22ETFWG3MHHMHULW5WKSY2W}

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	2026-05-18T00:12:51.786865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdb3ad1265b1b6c39d87a2eddb2a58d5979f06df237148d8401a5dc45d0a8c3d

Aliases

arxiv: 1806.07127 · arxiv_version: 1806.07127v1 · doi: 10.48550/arxiv.1806.07127 · pith_short_12: 7WZ22ETFWG3M · pith_short_16: 7WZ22ETFWG3MHHMH · pith_short_8: 7WZ22ETF

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/7WZ22ETFWG3MHHMHULW5WKSY2W \
  | 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: fdb3ad1265b1b6c39d87a2eddb2a58d5979f06df237148d8401a5dc45d0a8c3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53a432c121b2c32c0c91849ddf0a9277f57e19806d6358bbf28756006a69ae8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2018-06-19T09:41:57Z",
    "title_canon_sha256": "5c6fe1dee0e5d3be14a3ab093c32fd5605f6e8f160532e2c5ab8c5e180937c3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07127",
    "kind": "arxiv",
    "version": 1
  }
}