Pith Number

pith:4LFEKQPW

pith:2026:4LFEKQPWIB3TNLSJTRQYF43AHF

not attested not anchored not stored refs pending

From local giants to locality in long-range percolation

J\'ulia Komj\'athy, Yago Moreno Alonso

arxiv:2607.18011 v1 · 2026-07-20 · math.PR · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LFEKQPWIB3TNLSJTRQYF43AHF}

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	2026-07-21T02:22:11.644623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2ca4541f6407736ae499c6182f3603968cb567117f5acdbaaf432f85db43b26

Aliases

arxiv: 2607.18011 · arxiv_version: 2607.18011v1 · doi: 10.48550/arxiv.2607.18011 · pith_short_12: 4LFEKQPWIB3T · pith_short_16: 4LFEKQPWIB3TNLSJ · pith_short_8: 4LFEKQPW

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/4LFEKQPWIB3TNLSJTRQYF43AHF \
  | 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: e2ca4541f6407736ae499c6182f3603968cb567117f5acdbaaf432f85db43b26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e816d817cb6df280242fe0b29203b75bec7925052b8b92cdc672f17548385d15",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-20T14:45:47Z",
    "title_canon_sha256": "06aeec0ececdba2500b8c9e94b2e4e9b5e2fa3f5b8e4bef20120b144c9a578e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18011",
    "kind": "arxiv",
    "version": 1
  }
}