Pith Number

pith:APIPVN7Y

pith:2015:APIPVN7YO32ONH3BOQAZ4MAFJV

not attested not anchored not stored refs pending

On Frequency LTL in Probabilistic Systems

Jan Kr\v{c}\'al, Vojt\v{e}ch Forejt

arxiv:1501.05561 v2 · 2015-01-22 · 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{APIPVN7YO32ONH3BOQAZ4MAFJV}

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	2026-05-18T01:37:49.137360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d0fab7f876f4e69f6174019e30054d623c96c5c8d45823d64023afb5222665

Aliases

arxiv: 1501.05561 · arxiv_version: 1501.05561v2 · doi: 10.48550/arxiv.1501.05561 · pith_short_12: APIPVN7YO32O · pith_short_16: APIPVN7YO32ONH3B · pith_short_8: APIPVN7Y

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/APIPVN7YO32ONH3BOQAZ4MAFJV \
  | 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: 03d0fab7f876f4e69f6174019e30054d623c96c5c8d45823d64023afb5222665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e23bf821217be1eb48fcd3106578d703e5fa2a62a90142dbb448a15185217a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-01-22T16:30:43Z",
    "title_canon_sha256": "741ea11dce99b72aa2736038eebcfca04a534bf1282b7a0c18ffd95788f4dd01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05561",
    "kind": "arxiv",
    "version": 2
  }
}