Pith Number

pith:BLPK6IKO

pith:2015:BLPK6IKOICNHL2XNSCUKX4G42K

not attested not anchored not stored refs pending

Sensitivity versus Certificate Complexity of Boolean Functions

Andris Ambainis, Jevg\=enijs Vihrovs, Kri\v{s}j\=anis Pr\=usis

arxiv:1503.07691 v2 · 2015-03-26 · 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{BLPK6IKOICNHL2XNSCUKX4G42K}

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	2026-05-18T01:55:52.520490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0adeaf214e409a75eaed90a8abf0dcd2a6ecce2d1a759d739bf867d98c364250

Aliases

arxiv: 1503.07691 · arxiv_version: 1503.07691v2 · doi: 10.48550/arxiv.1503.07691 · pith_short_12: BLPK6IKOICNH · pith_short_16: BLPK6IKOICNHL2XN · pith_short_8: BLPK6IKO

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/BLPK6IKOICNHL2XNSCUKX4G42K \
  | 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: 0adeaf214e409a75eaed90a8abf0dcd2a6ecce2d1a759d739bf867d98c364250

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4306370b91969734adad6f90e448dd5acb218e777ff4cb67b20c6d07c57ff200",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2015-03-26T11:24:58Z",
    "title_canon_sha256": "4388354d23d1cec8fc1137cfdc84ab21b262d6c4e759d9313ef5b45dc77bcc37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07691",
    "kind": "arxiv",
    "version": 2
  }
}