Pith Number

pith:2ZJ4C2WP

pith:2020:2ZJ4C2WPAYYU33OGEDW2OAKPMI

not attested not anchored not stored refs pending

Breaking the $O(\sqrt n)$-Bit Barrier: Byzantine Agreement with Polylog Bits Per Party

Aarushi Goel, Elette Boyle, Ran Cohen

arxiv:2002.02516 v5 · 2020-02-06 · cs.CR · cs.DC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZJ4C2WPAYYU33OGEDW2OAKPMI}

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	2026-07-05T07:03:09.061240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d653c16acf06314dedc620eda7014f621faeeeeb1500031aba3b08e0907e53f3

Aliases

arxiv: 2002.02516 · arxiv_version: 2002.02516v5 · doi: 10.48550/arxiv.2002.02516 · pith_short_12: 2ZJ4C2WPAYYU · pith_short_16: 2ZJ4C2WPAYYU33OG · pith_short_8: 2ZJ4C2WP

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/2ZJ4C2WPAYYU33OGEDW2OAKPMI \
  | 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: d653c16acf06314dedc620eda7014f621faeeeeb1500031aba3b08e0907e53f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37d090ea7ea6be7105c59d497b76aebaccf75b50edf42af560d437d784560013",
    "cross_cats_sorted": [
      "cs.DC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2020-02-06T21:19:32Z",
    "title_canon_sha256": "7183e79ced9477628067921d3f2a42978355490911d566b76462fe6e5a2b42a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.02516",
    "kind": "arxiv",
    "version": 5
  }
}