Pith Number

pith:RQD5FZRP

pith:2018:RQD5FZRPJRIU6NFVG3TI6YKLEE

not attested not anchored not stored refs pending

Two Phase Transitions in Two-way Bootstrap Percolation

Ahad N. Zehmakan

arxiv:1809.10764 v2 · 2018-09-26 · math.PR · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQD5FZRPJRIU6NFVG3TI6YKLEE}

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	2026-05-17T23:47:59.510365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c07d2e62f4c514f34b536e68f614b211002c96d96d044f48dc028c044ef4b49

Aliases

arxiv: 1809.10764 · arxiv_version: 1809.10764v2 · doi: 10.48550/arxiv.1809.10764 · pith_short_12: RQD5FZRPJRIU · pith_short_16: RQD5FZRPJRIU6NFV · pith_short_8: RQD5FZRP

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/RQD5FZRPJRIU6NFVG3TI6YKLEE \
  | 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: 8c07d2e62f4c514f34b536e68f614b211002c96d96d044f48dc028c044ef4b49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64504fe9eb80735922dc0e3afb14bc0e9278514c5aa038666ea183e8916d38bc",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-26T09:07:30Z",
    "title_canon_sha256": "6bf109b95e0124a3edd95fbf8c1680c1dbf3ede867d497c9b3d13617f7eedc3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10764",
    "kind": "arxiv",
    "version": 2
  }
}