Pith Number

pith:3K4OKW3G

pith:2018:3K4OKW3G5ENY4573DL4URVBJ5F

not attested not anchored not stored refs pending

Subcritical random hypergraphs, high-order components, and hypertrees

Mihyun Kang, Nicola Del Giudice, Oliver Cooley, Wenjie Fang

arxiv:1810.08107 v1 · 2018-10-18 · 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{3K4OKW3G5ENY4573DL4URVBJ5F}

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	2026-05-18T00:02:50.551932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dab8e55b66e91b8e77fb1af948d429e943f161667e1bdaab8eb7fa19ec51e045

Aliases

arxiv: 1810.08107 · arxiv_version: 1810.08107v1 · doi: 10.48550/arxiv.1810.08107 · pith_short_12: 3K4OKW3G5ENY · pith_short_16: 3K4OKW3G5ENY4573 · pith_short_8: 3K4OKW3G

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/3K4OKW3G5ENY4573DL4URVBJ5F \
  | 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: dab8e55b66e91b8e77fb1af948d429e943f161667e1bdaab8eb7fa19ec51e045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0c42ff698bcc9e84e068d707320e621736a72cdc70dfe79d57ae3750b8c2821",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-18T15:26:32Z",
    "title_canon_sha256": "104a3b4b3ad309e6f92b7cfe3ab1df177922fde3bff6691af52c7ef213bdd254"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08107",
    "kind": "arxiv",
    "version": 1
  }
}