Pith Number

pith:RUPRYXGX

pith:2022:RUPRYXGXUJPMJKPCOOBA6CR4DG

not attested not anchored not stored refs pending

Bootstrap Percolation in Random Graphs of Unbounded Rank

Jimin Lin, Nils Detering

arxiv:2205.14782 v3 · 2022-05-29 · 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{RUPRYXGXUJPMJKPCOOBA6CR4DG}

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	2026-06-26T00:15:21.419130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d1f1c5cd7a25ec4a9e273820f0a3c19b51bec5ebe60f9c51032e353b450e08d

Aliases

arxiv: 2205.14782 · arxiv_version: 2205.14782v3 · doi: 10.48550/arxiv.2205.14782 · pith_short_12: RUPRYXGXUJPM · pith_short_16: RUPRYXGXUJPMJKPC · pith_short_8: RUPRYXGX

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/RUPRYXGXUJPMJKPCOOBA6CR4DG \
  | 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: 8d1f1c5cd7a25ec4a9e273820f0a3c19b51bec5ebe60f9c51032e353b450e08d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88e251216742e025d7a9e860d09ad25d10ae64bdb0296bb988ad459927240a46",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-05-29T23:20:54Z",
    "title_canon_sha256": "3551ef319d7a74e40f4470b541f7804ece8679171602df62af7e6a3215d5ea56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.14782",
    "kind": "arxiv",
    "version": 3
  }
}