Pith Number

pith:HEOG4WF3

pith:2009:HEOG4WF3I62XJHT6LVNVRK3GVS

not attested not anchored not stored refs pending

Visible parts of fractal percolation

E. J\"arvenp\"a\"a, I. Arhosalo, M. J\"arvenp\"a\"a, M. Rams, P. Shmerkin

arxiv:0911.3931 v1 · 2009-11-19 · math.CA · 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{HEOG4WF3I62XJHT6LVNVRK3GVS}

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	2026-05-18T03:30:12.866269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

391c6e58bb47b5749e7e5d5b58ab66acb8c02cb288f9e8815ac9e59e0f3b5d00

Aliases

arxiv: 0911.3931 · arxiv_version: 0911.3931v1 · doi: 10.48550/arxiv.0911.3931 · pith_short_12: HEOG4WF3I62X · pith_short_16: HEOG4WF3I62XJHT6 · pith_short_8: HEOG4WF3

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/HEOG4WF3I62XJHT6LVNVRK3GVS \
  | 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: 391c6e58bb47b5749e7e5d5b58ab66acb8c02cb288f9e8815ac9e59e0f3b5d00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "551e7f458a3c4a250510376e7144c163760e26dbe480608c4215ee2dd628987a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-11-19T23:11:52Z",
    "title_canon_sha256": "a076e90a74cb90dbd7ca839448caff240b755222dc60ce8c870096f53c2ba0ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3931",
    "kind": "arxiv",
    "version": 1
  }
}