Pith Number

pith:6Z44BV6L

pith:2022:6Z44BV6LRYJ73YASRRMUIRFOW3

not attested not anchored not stored refs pending

The $d$-dimensional bootstrap percolation models with threshold at least double exponential

Daniel Blanquicett

arxiv:2201.09029 v1 · 2022-01-22 · 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{6Z44BV6LRYJ73YASRRMUIRFOW3}

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	2026-07-05T03:50:39.515566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f679c0d7cb8e13fde0128c594444aeb6e50c84b704afe3968a7387eb93c68f2f

Aliases

arxiv: 2201.09029 · arxiv_version: 2201.09029v1 · doi: 10.48550/arxiv.2201.09029 · pith_short_12: 6Z44BV6LRYJ7 · pith_short_16: 6Z44BV6LRYJ73YAS · pith_short_8: 6Z44BV6L

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/6Z44BV6LRYJ73YASRRMUIRFOW3 \
  | 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: f679c0d7cb8e13fde0128c594444aeb6e50c84b704afe3968a7387eb93c68f2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5eee4062b3daeec1f65fa9276f70d2d3f1762362f306ecda3fcb903ade3f71a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-01-22T11:59:22Z",
    "title_canon_sha256": "795dbb66f58969fe40b6e6cbd82015516cbef255186e36939bf273553dc76371"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.09029",
    "kind": "arxiv",
    "version": 1
  }
}