Pith Number

pith:ESOI57OI

pith:2018:ESOI57OI7I2KFM4WLAX23326JM

not attested not anchored not stored refs pending

On the sizes of $(k,l)$-edge-maximal $r$-uniform hypergraphs

Hong-Jian Lai, Jixiang Meng, Murong Xu, Yingzhi Tian

arxiv:1805.11425 v2 · 2018-05-28 · 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{ESOI57OI7I2KFM4WLAX23326JM}

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	2026-05-18T00:10:16.675780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

249c8efdc8fa34a2b396582fadef5e4b385aa5e5d36e8f1e90f4a72ef5ea39e0

Aliases

arxiv: 1805.11425 · arxiv_version: 1805.11425v2 · doi: 10.48550/arxiv.1805.11425 · pith_short_12: ESOI57OI7I2K · pith_short_16: ESOI57OI7I2KFM4W · pith_short_8: ESOI57OI

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/ESOI57OI7I2KFM4WLAX23326JM \
  | 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: 249c8efdc8fa34a2b396582fadef5e4b385aa5e5d36e8f1e90f4a72ef5ea39e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f2412ab0fe25026ce76553e9e1189b53d09fc59a5ee4ebf644b9f3b94c3ce8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-28T03:27:52Z",
    "title_canon_sha256": "39122d4871ab416d1f49cab855c90e225099186a929ab2ef4c3141834b8140c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11425",
    "kind": "arxiv",
    "version": 2
  }
}