Pith Number

pith:ZJ4BX5HH

pith:2015:ZJ4BX5HHHWFIZWAAFOKBHEBLHS

not attested not anchored not stored refs pending

Step-Indexed Logical Relations for Probability (long version)

Ale\v{s} Bizjak, Denmark), Lars Birkedal (Aarhus University

arxiv:1501.02623 v2 · 2015-01-12 · 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{ZJ4BX5HHHWFIZWAAFOKBHEBLHS}

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	2026-05-18T02:18:32.801566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca781bf4e73d8a8cd8002b9413902b3c9d65e6abd765382bf97e9631aaea4898

Aliases

arxiv: 1501.02623 · arxiv_version: 1501.02623v2 · doi: 10.48550/arxiv.1501.02623 · pith_short_12: ZJ4BX5HHHWFI · pith_short_16: ZJ4BX5HHHWFIZWAA · pith_short_8: ZJ4BX5HH

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/ZJ4BX5HHHWFIZWAAFOKBHEBLHS \
  | 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: ca781bf4e73d8a8cd8002b9413902b3c9d65e6abd765382bf97e9631aaea4898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49efe60326b5b6f03da85f86257d529d8ebe496b68a39e496a475e33cec33036",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-01-12T12:50:18Z",
    "title_canon_sha256": "5e9d2e3b0137d47fe5edade43532db1c33da5cf3417f917afac74a566294af03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02623",
    "kind": "arxiv",
    "version": 2
  }
}