Pith Number

pith:N3ELQUQ4

pith:2018:N3ELQUQ4CUU7FNJV3AMZIP6IWJ

not attested not anchored not stored refs pending

Restricted percolation critical exponents in high dimensions

Jack Hanson, Shirshendu Chatterjee

arxiv:1810.03750 v1 · 2018-10-08 · math.PR · math-ph · 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{N3ELQUQ4CUU7FNJV3AMZIP6IWJ}

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	2026-05-18T00:03:44.590526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ec8b8521c1529f2b535d819943fc8b243a982d214e936028424a4eee115cd5a

Aliases

arxiv: 1810.03750 · arxiv_version: 1810.03750v1 · doi: 10.48550/arxiv.1810.03750 · pith_short_12: N3ELQUQ4CUU7 · pith_short_16: N3ELQUQ4CUU7FNJV · pith_short_8: N3ELQUQ4

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/N3ELQUQ4CUU7FNJV3AMZIP6IWJ \
  | 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: 6ec8b8521c1529f2b535d819943fc8b243a982d214e936028424a4eee115cd5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d009d449e20393e934a9b8c47cba23f36b16eecea0cd2d338039a87b893897e9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-08T23:55:02Z",
    "title_canon_sha256": "9ca4afc8227c5c1d918ba6ef65241ce91a4b243de4a1a93be72a5309417a046d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03750",
    "kind": "arxiv",
    "version": 1
  }
}