Pith Number

pith:K6EOOBUU

pith:2016:K6EOOBUUGVZ6I6VQN26P3KTB7A

not attested not anchored not stored refs pending

Boundary rules and breaking of self-organized criticality in 2D frozen percolation

Jacob van den Berg, Pierre Nolin

arxiv:1612.07744 v1 · 2016-12-22 · 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{K6EOOBUUGVZ6I6VQN26P3KTB7A}

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	2026-05-18T00:54:09.449832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5788e706943573e47ab06ebcfdaa61f81f97263dabe0ce2be2bdbd0a4cff48fc

Aliases

arxiv: 1612.07744 · arxiv_version: 1612.07744v1 · doi: 10.48550/arxiv.1612.07744 · pith_short_12: K6EOOBUUGVZ6 · pith_short_16: K6EOOBUUGVZ6I6VQ · pith_short_8: K6EOOBUU

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/K6EOOBUUGVZ6I6VQN26P3KTB7A \
  | 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: 5788e706943573e47ab06ebcfdaa61f81f97263dabe0ce2be2bdbd0a4cff48fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "606a4ebe78c8f9713e74cc9cf6839756755c18ed3d05ded03d2283eea47b6b82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-22T18:35:20Z",
    "title_canon_sha256": "d5c7c2417fd6a7ce46fc1f442154defdfcadc3a0ab8214ae4da57efe3f9d13e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07744",
    "kind": "arxiv",
    "version": 1
  }
}