Pith Number

pith:2P6QJ4LG

pith:2015:2P6QJ4LGVLWYM23C3QNQPCYLT7

not attested not anchored not stored refs pending

On the chemical distance in critical percolation

Jack Hanson, Michael Damron, Philippe Sosoe

arxiv:1506.03461 v1 · 2015-06-10 · 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{2P6QJ4LGVLWYM23C3QNQPCYLT7}

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	2026-05-18T01:53:08.536824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3fd04f166aaed866b62dc1b078b0b9ff0bc65a82670a47a8a9d18c7689b1bcb

Aliases

arxiv: 1506.03461 · arxiv_version: 1506.03461v1 · doi: 10.48550/arxiv.1506.03461 · pith_short_12: 2P6QJ4LGVLWY · pith_short_16: 2P6QJ4LGVLWYM23C · pith_short_8: 2P6QJ4LG

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/2P6QJ4LGVLWYM23C3QNQPCYLT7 \
  | 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: d3fd04f166aaed866b62dc1b078b0b9ff0bc65a82670a47a8a9d18c7689b1bcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ade15bec0ae0a08e2932227852047da55c26617a5631179ceda5205cfb4400de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-10T20:05:09Z",
    "title_canon_sha256": "91ffed5247b85f4285ca9ef5aad081dcf113baabdd96255d89bcaf12c0ebf404"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03461",
    "kind": "arxiv",
    "version": 1
  }
}