Pith Number

pith:7LDA2F5K

pith:2026:7LDA2F5KVEAVOTBDHARULGUSSC

not attested not anchored not stored refs pending

On perturbations that preserve the connectivity properties in tree percolations

Mirmukhsin Makhmudov, Ville Suomala

arxiv:2607.01291 v1 · 2026-07-01 · math.PR · math-ph · math.CA · math.MG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7LDA2F5KVEAVOTBDHARULGUSSC}

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	2026-07-03T00:16:56.444512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fac60d17aaa901574c233823459a92908adab294876d74abc241b9d50254367c

Aliases

arxiv: 2607.01291 · arxiv_version: 2607.01291v1 · doi: 10.48550/arxiv.2607.01291 · pith_short_12: 7LDA2F5KVEAV · pith_short_16: 7LDA2F5KVEAVOTBD · pith_short_8: 7LDA2F5K

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/7LDA2F5KVEAVOTBDHARULGUSSC \
  | 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: fac60d17aaa901574c233823459a92908adab294876d74abc241b9d50254367c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0c11d4713809138bd479a35f185b51eacdd60ad0eabb9eff395eb0bef014a9f",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-01T12:35:15Z",
    "title_canon_sha256": "6aafed236ab1b857dba947bc92db5fb3c1ed7097c8f85efcd1ed247e7c1b8089"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01291",
    "kind": "arxiv",
    "version": 1
  }
}