Pith Number

pith:PMWHE7XZ

pith:2017:PMWHE7XZUGGKVTYMIIHZ5JTJJG

not attested not anchored not stored refs pending

On the number of linear hypergraphs of large girth

J\'ozsef Balogh, Lina Li

arxiv:1709.04079 v2 · 2017-09-12 · 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{PMWHE7XZUGGKVTYMIIHZ5JTJJG}

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	2026-05-17T23:59:25.151231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2c727ef9a18caacf0c420f9ea6694981b7bd2ab10f55a5f556e99e70f817d1

Aliases

arxiv: 1709.04079 · arxiv_version: 1709.04079v2 · doi: 10.48550/arxiv.1709.04079 · pith_short_12: PMWHE7XZUGGK · pith_short_16: PMWHE7XZUGGKVTYM · pith_short_8: PMWHE7XZ

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/PMWHE7XZUGGKVTYMIIHZ5JTJJG \
  | 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: 7b2c727ef9a18caacf0c420f9ea6694981b7bd2ab10f55a5f556e99e70f817d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49c894b49b6383b16fb4c6432dcd765e32ce103a6bbc6fe7dc6fab88dbf0d629",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-12T22:51:33Z",
    "title_canon_sha256": "263a24da8db34610cb5db91ebbae65b925bed0623665be36b8b80db1fb1503f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04079",
    "kind": "arxiv",
    "version": 2
  }
}