Pith Number

pith:JKINL2I6

pith:2018:JKINL2I64VJQ43OTGUQEJBNDTJ

not attested not anchored not stored refs pending

Small-Set Expansion in Shortcode Graph and the 2-to-2 Conjecture

Boaz Barak, David Steurer, Pravesh K. Kothari

arxiv:1804.08662 v1 · 2018-04-23 · 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{JKINL2I64VJQ43OTGUQEJBNDTJ}

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	2026-05-18T00:17:47.077723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a90d5e91ee5530e6dd335204485a39a61df6d4d38db75289bb4791896e2a9c4

Aliases

arxiv: 1804.08662 · arxiv_version: 1804.08662v1 · doi: 10.48550/arxiv.1804.08662 · pith_short_12: JKINL2I64VJQ · pith_short_16: JKINL2I64VJQ43OT · pith_short_8: JKINL2I6

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/JKINL2I64VJQ43OTGUQEJBNDTJ \
  | 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: 4a90d5e91ee5530e6dd335204485a39a61df6d4d38db75289bb4791896e2a9c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce4d726d857a5b49874fa6580debdd88b3ee7befcbd6c583cb5f8ac31bf76ff0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2018-04-23T18:48:49Z",
    "title_canon_sha256": "f450371757b3c2e804533771e03b38bf4c7d5b6f85894258fcb39e0584ea7a6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08662",
    "kind": "arxiv",
    "version": 1
  }
}