Pith Number

pith:EEPUPNZ6

pith:2022:EEPUPNZ6YF56ZP47F4CQSLRI5K

not attested not anchored not stored refs pending

On the Maximum $F_5$-free Subhypergraphs of a Random Hypergraph

Haoran Luo, Igor Araujo, J\'ozsef Balogh

arxiv:2203.02826 v4 · 2022-03-05 · 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{EEPUPNZ6YF56ZP47F4CQSLRI5K}

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	2026-07-05T06:30:41.671912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

211f47b73ec17becbf9f2f05092e28ea9f8c3aa37fd83b74b3bd9489e0ca1059

Aliases

arxiv: 2203.02826 · arxiv_version: 2203.02826v4 · doi: 10.48550/arxiv.2203.02826 · pith_short_12: EEPUPNZ6YF56 · pith_short_16: EEPUPNZ6YF56ZP47 · pith_short_8: EEPUPNZ6

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/EEPUPNZ6YF56ZP47F4CQSLRI5K \
  | 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: 211f47b73ec17becbf9f2f05092e28ea9f8c3aa37fd83b74b3bd9489e0ca1059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf117e032be2835ff846292967ec0129d6d9d15f6dd97aa704f825af5d477d7c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-03-05T22:51:26Z",
    "title_canon_sha256": "9b4e6a9ea5a2a5ceb8e81136ef3e3c2a96f2ffbcddb6f710da2b2579a0ca5f6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.02826",
    "kind": "arxiv",
    "version": 4
  }
}