Pith Number

pith:PCSHKQVH

pith:2016:PCSHKQVHUMJGZVWDKYS4ND2PDQ

not attested not anchored not stored refs pending

Computing Majority by Constant Depth Majority Circuits with Low Fan-in Gates

Alexander S. Kulikov, Vladimir V. Podolskii

arxiv:1610.02686 v1 · 2016-10-09 · 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{PCSHKQVHUMJGZVWDKYS4ND2PDQ}

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	2026-05-18T01:02:50.941786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a47542a7a3126cd6c35625c68f4f1c37ac245a96cc9a2304b7af943bead78e

Aliases

arxiv: 1610.02686 · arxiv_version: 1610.02686v1 · doi: 10.48550/arxiv.1610.02686 · pith_short_12: PCSHKQVHUMJG · pith_short_16: PCSHKQVHUMJGZVWD · pith_short_8: PCSHKQVH

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/PCSHKQVHUMJGZVWDKYS4ND2PDQ \
  | 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: 78a47542a7a3126cd6c35625c68f4f1c37ac245a96cc9a2304b7af943bead78e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "284402e02208aaa9f55883091c8a57dd541d5f255d2ffae1c7ad961b1c2c6e7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-10-09T15:37:17Z",
    "title_canon_sha256": "6db6b2e0c666bdf0c84e83464009e093b68f1cbb943d3eed9dcb50d0fed4b593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02686",
    "kind": "arxiv",
    "version": 1
  }
}