Pith Number

pith:ZHKIY5TO

pith:2013:ZHKIY5TOSLIMAFGA7BLRAM6FUS

not attested not anchored not stored refs pending

Separating OR, SUM, and XOR Circuits

Janne H. Korhonen, Magnus Find, Matti J\"arvisalo, Mika G\"o\"os, Mikko Koivisto, Petteri Kaski

arxiv:1304.0513 v2 · 2013-04-02 · 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{ZHKIY5TOSLIMAFGA7BLRAM6FUS}

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	2026-05-18T03:27:22.495010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9d48c766e92d0c014c0f8571033c5a4802d6a5023f12172b45052f9d0528443

Aliases

arxiv: 1304.0513 · arxiv_version: 1304.0513v2 · doi: 10.48550/arxiv.1304.0513 · pith_short_12: ZHKIY5TOSLIM · pith_short_16: ZHKIY5TOSLIMAFGA · pith_short_8: ZHKIY5TO

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/ZHKIY5TOSLIMAFGA7BLRAM6FUS \
  | 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: c9d48c766e92d0c014c0f8571033c5a4802d6a5023f12172b45052f9d0528443

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ad78d7bd2fef044187e743abe9aeb4c2400f5872d027f00e20d671fe15f734d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-04-02T01:25:48Z",
    "title_canon_sha256": "83ffa2e0cb084188a3be4ef32a952574b52b12f1217164e8ce4463850b83e81f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0513",
    "kind": "arxiv",
    "version": 2
  }
}