Pith Number

pith:NU3GJAEM

pith:2013:NU3GJAEMEY7UTYWSTLD74KAWRB

not attested not anchored not stored refs pending

Bootstrap Percolation on Periodic Trees

Iraj Saniee, Milan Bradonji\'c

arxiv:1311.7449 v1 · 2013-11-29 · 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{NU3GJAEMEY7UTYWSTLD74KAWRB}

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	2026-05-18T03:05:56.194099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d3664808c263f49e2d29ac7fe28168852a0f6aa211d9761e77321125231814b

Aliases

arxiv: 1311.7449 · arxiv_version: 1311.7449v1 · doi: 10.48550/arxiv.1311.7449 · pith_short_12: NU3GJAEMEY7U · pith_short_16: NU3GJAEMEY7UTYWS · pith_short_8: NU3GJAEM

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/NU3GJAEMEY7UTYWSTLD74KAWRB \
  | 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: 6d3664808c263f49e2d29ac7fe28168852a0f6aa211d9761e77321125231814b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4327a27bb79c5a0eb6ea40982731f84a9ba1cccb93dff2ab8a284cace34ef229",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-29T00:20:51Z",
    "title_canon_sha256": "ef0cfff13c0339113a48d99d36fc97b4237e0045628d3a810bea7036b3d09fa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7449",
    "kind": "arxiv",
    "version": 1
  }
}