Pith Number

pith:4HNTFCFF

pith:2015:4HNTFCFFP36GQHAHDVASABJMNC

not attested not anchored not stored refs pending

Algebraic bounds for heterogeneous site percolation on directed and undirected graphs

Kathleen E. Hamilton, Leonid P. Pryadko

arxiv:1505.03963 v5 · 2015-05-15 · 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{4HNTFCFFP36GQHAHDVASABJMNC}

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	2026-05-18T01:02:13.934341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1db3288a57efc681c071d4120052c688addeb8132f867d60c36dcd6beb5efdd

Aliases

arxiv: 1505.03963 · arxiv_version: 1505.03963v5 · doi: 10.48550/arxiv.1505.03963 · pith_short_12: 4HNTFCFFP36G · pith_short_16: 4HNTFCFFP36GQHAH · pith_short_8: 4HNTFCFF

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/4HNTFCFFP36GQHAHDVASABJMNC \
  | 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: e1db3288a57efc681c071d4120052c688addeb8132f867d60c36dcd6beb5efdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6c017a09b0f229fcbcee38957b6f7a5c8baf1841ae2e9153c4c05e37320df5a",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-05-15T05:41:03Z",
    "title_canon_sha256": "a8a3416e1c81a1f92167bc2098b70a0633e314a5b7de1d532d6fea0a57c91e3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03963",
    "kind": "arxiv",
    "version": 5
  }
}