Pith Number

pith:UGGI2YLO

pith:2024:UGGI2YLOTUQUZPUT2EWLHDCTSC

not attested not anchored not stored refs pending

Triangle-free triple systems

G\'abor Simonyi, Ido Goorevitch, Peter Frankl, Ron Holzman, Zolt\'an F\"uredi

arxiv:2405.16452 v1 · 2024-05-26 · 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{UGGI2YLOTUQUZPUT2EWLHDCTSC}

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	2026-07-05T08:23:30.577321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a18c8d616e9d214cbe93d12cb38c53909d4fba94dc6747afb7a60b7247dee7f5

Aliases

arxiv: 2405.16452 · arxiv_version: 2405.16452v1 · doi: 10.48550/arxiv.2405.16452 · pith_short_12: UGGI2YLOTUQU · pith_short_16: UGGI2YLOTUQUZPUT · pith_short_8: UGGI2YLO

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/UGGI2YLOTUQUZPUT2EWLHDCTSC \
  | 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: a18c8d616e9d214cbe93d12cb38c53909d4fba94dc6747afb7a60b7247dee7f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee4ecf5531a798fd3c7dd44ed778178b7f4b12d321d2edd1279bc4b172dba595",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-05-26T06:47:33Z",
    "title_canon_sha256": "5536746b20e30b6605d03fa4ca453eb6c6008bca1cbf9b8a858ded487631096f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.16452",
    "kind": "arxiv",
    "version": 1
  }
}