Pith Number

pith:CHL5G5SN

pith:2015:CHL5G5SNUDDBHNJ7HCHB6AILCU

not attested not anchored not stored refs pending

The number of additive triples in subsets of abelian groups

Benny Sudakov, Wojciech Samotij

arxiv:1507.03764 v3 · 2015-07-14 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CHL5G5SNUDDBHNJ7HCHB6AILCU}

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	2026-05-18T01:10:45.937027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11d7d3764da0c613b53f388e1f010b1539b37e587ca33c1d1170dc235f428ee4

Aliases

arxiv: 1507.03764 · arxiv_version: 1507.03764v3 · doi: 10.48550/arxiv.1507.03764 · pith_short_12: CHL5G5SNUDDB · pith_short_16: CHL5G5SNUDDBHNJ7 · pith_short_8: CHL5G5SN

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/CHL5G5SNUDDBHNJ7HCHB6AILCU \
  | 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: 11d7d3764da0c613b53f388e1f010b1539b37e587ca33c1d1170dc235f428ee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04138afce7a99c407dd4596c3777a8833a1be247381630f479c4be1ed835a235",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-14T08:36:24Z",
    "title_canon_sha256": "4fa59ede43e84c666c25df54b2b8d5fd0c1dcfecf024fce6a0a906dfac19237d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03764",
    "kind": "arxiv",
    "version": 3
  }
}