Pith Number

pith:3WUT6SK7

pith:2016:3WUT6SK7GRHMCNA5CSVUVT743U

not attested not anchored not stored refs pending

Exponential decay of connectivity and uniqueness in percolation on finite and infinite graphs

Kathleen E. Hamilton, Leonid P. Pryadko

arxiv:1610.04897 v1 · 2016-10-16 · math-ph · cond-mat.dis-nn · 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{3WUT6SK7GRHMCNA5CSVUVT743U}

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	2026-05-18T01:02:06.778636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dda93f495f344ec1341d14ab4acffcdd129c23380e66285cbb8f128f9e3e135a

Aliases

arxiv: 1610.04897 · arxiv_version: 1610.04897v1 · doi: 10.48550/arxiv.1610.04897 · pith_short_12: 3WUT6SK7GRHM · pith_short_16: 3WUT6SK7GRHMCNA5 · pith_short_8: 3WUT6SK7

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/3WUT6SK7GRHMCNA5CSVUVT743U \
  | 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: dda93f495f344ec1341d14ab4acffcdd129c23380e66285cbb8f128f9e3e135a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebce8f2f78edc280d047404d499929cdf583bfcd669fae5d20daffb3f8acf0cb",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-16T18:28:10Z",
    "title_canon_sha256": "c10c7231ba45f0883d3b1bc84f975cd3b9e30027a605d7f461d7bb40d9dd242b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04897",
    "kind": "arxiv",
    "version": 1
  }
}