Pith Number

pith:GGHOL73F

pith:2019:GGHOL73FAO24GNRHQK773QYV25

not attested not anchored not stored refs pending

Moderate deviations for the size of the giant component in a random hypergraph

Jingjia Liu, Matthias L\"owe

arxiv:1907.07834 v1 · 2019-07-18 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGHOL73FAO24GNRHQK773QYV25}

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	2026-05-17T23:40:16.050825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

318ee5ff6503b5c3362782bffdc315d77d846a9e8bff747d7aadd14ae86668f6

Aliases

arxiv: 1907.07834 · arxiv_version: 1907.07834v1 · doi: 10.48550/arxiv.1907.07834 · pith_short_12: GGHOL73FAO24 · pith_short_16: GGHOL73FAO24GNRH · pith_short_8: GGHOL73F

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/GGHOL73FAO24GNRHQK773QYV25 \
  | 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: 318ee5ff6503b5c3362782bffdc315d77d846a9e8bff747d7aadd14ae86668f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc45d62c9da5cbcd330633fc93c09ba0d959c6583bca0a432e2f012b511f4a77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-18T01:37:10Z",
    "title_canon_sha256": "fc90fcc1b5f5197df86a0caba528db1317a5cb5d9b19382d8bdd6af6076e421c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07834",
    "kind": "arxiv",
    "version": 1
  }
}