Pith Number

pith:LTECH6KT

pith:2017:LTECH6KTNAR3PMJZO2SOI6JZ6L

not attested not anchored not stored refs pending

Strict inequality for the chemical distance exponent in two-dimensional critical percolation

Jack Hanson, Michael Damron, Philippe Sosoe

arxiv:1708.03643 v1 · 2017-08-11 · 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{LTECH6KTNAR3PMJZO2SOI6JZ6L}

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	2026-05-18T00:38:08.253310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cc823f9536823b7b13976a4e47939f2d8ef4e2d7527d3d780f839bb3d015a57

Aliases

arxiv: 1708.03643 · arxiv_version: 1708.03643v1 · doi: 10.48550/arxiv.1708.03643 · pith_short_12: LTECH6KTNAR3 · pith_short_16: LTECH6KTNAR3PMJZ · pith_short_8: LTECH6KT

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/LTECH6KTNAR3PMJZO2SOI6JZ6L \
  | 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: 5cc823f9536823b7b13976a4e47939f2d8ef4e2d7527d3d780f839bb3d015a57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f8f98f3c21de768baa67b6785e51481dd83715a9f12a68381b21099e9d01e16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-11T18:03:09Z",
    "title_canon_sha256": "dd53cd293ca5b7992b8ad1b198937e09c77d326f06477ff604c595755c6f38e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03643",
    "kind": "arxiv",
    "version": 1
  }
}