Pith Number

pith:I5AM3X2M

pith:2019:I5AM3X2MUCFZ7JUFBKURNY7DUI

not attested not anchored not stored refs pending

Optimal Separation and Strong Direct Sum for Randomized Query Complexity

Eric Blais, Joshua Brody

arxiv:1908.01020 v1 · 2019-08-02 · 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{I5AM3X2MUCFZ7JUFBKURNY7DUI}

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	2026-07-04T23:51:25.671375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4740cddf4ca08b9fa6850aa916e3e3a2127bcb14294528236c970345c8ae265a

Aliases

arxiv: 1908.01020 · arxiv_version: 1908.01020v1 · doi: 10.48550/arxiv.1908.01020 · pith_short_12: I5AM3X2MUCFZ · pith_short_16: I5AM3X2MUCFZ7JUF · pith_short_8: I5AM3X2M

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/I5AM3X2MUCFZ7JUFBKURNY7DUI \
  | 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: 4740cddf4ca08b9fa6850aa916e3e3a2127bcb14294528236c970345c8ae265a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2263dde8b833e83863716b678f34519a709e397b5eff397a8254e1b734652731",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2019-08-02T19:16:22Z",
    "title_canon_sha256": "d3ade1c05c7084c611d46f6d7417a3f9827347f53c3b3045f86bd61c55d7389a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01020",
    "kind": "arxiv",
    "version": 1
  }
}