Pith Number

pith:7F3YHO3X

pith:2015:7F3YHO3XQPV4D6A3AYT7S6C3GA

not attested not anchored not stored refs pending

Clustered Integer 3SUM via Additive Combinatorics

Moshe Lewenstein, Timothy M. Chan

arxiv:1502.05204 v1 · 2015-02-18 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7F3YHO3XQPV4D6A3AYT7S6C3GA}

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	2026-05-18T02:26:52.187076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f97783bb7783ebc1f81b0627f9785b302cf71fd01b462bd99566ae1a1135baa4

Aliases

arxiv: 1502.05204 · arxiv_version: 1502.05204v1 · doi: 10.48550/arxiv.1502.05204 · pith_short_12: 7F3YHO3XQPV4 · pith_short_16: 7F3YHO3XQPV4D6A3 · pith_short_8: 7F3YHO3X

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/7F3YHO3XQPV4D6A3AYT7S6C3GA \
  | 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: f97783bb7783ebc1f81b0627f9785b302cf71fd01b462bd99566ae1a1135baa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8394af56a79bf05ab13da5b6d9387c7dcc26edb976db95c5be6175c3eb5e30a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-02-18T12:49:06Z",
    "title_canon_sha256": "f68672d8fc877bc5fd59032003313c46db2fb33f5661c6d4cf4a0ae1bdde1e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05204",
    "kind": "arxiv",
    "version": 1
  }
}