Pith Number

pith:LUZUVI5Y

pith:2020:LUZUVI5YJODTBWEO652KKTCIFJ

not attested not anchored not stored refs pending

On sums and products along the edges, II

Imre Ruzsa, Jozsef Solymosi, Noga Alon

arxiv:2007.12970 v2 · 2020-07-25 · 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{LUZUVI5YJODTBWEO652KKTCIFJ}

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	2026-07-05T06:35:41.269922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d334aa3b84b8730d88ef774a54c482a7106b6bf1350aa287dab0bbd7c539d23

Aliases

arxiv: 2007.12970 · arxiv_version: 2007.12970v2 · doi: 10.48550/arxiv.2007.12970 · pith_short_12: LUZUVI5YJODT · pith_short_16: LUZUVI5YJODTBWEO · pith_short_8: LUZUVI5Y

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/LUZUVI5YJODTBWEO652KKTCIFJ \
  | 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: 5d334aa3b84b8730d88ef774a54c482a7106b6bf1350aa287dab0bbd7c539d23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0126bf0002e298701c1e8cf3ac83b77204ad1f5a037eee6184795d1590689e26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-07-25T16:36:45Z",
    "title_canon_sha256": "b0de068b83f20dc85338dc74b08dfd6520a84b976a035ded598d838777d39706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.12970",
    "kind": "arxiv",
    "version": 2
  }
}