Pith Number

pith:BA4PX37O

pith:2015:BA4PX37OE2VRG64QSSKX3EA37A

not attested not anchored not stored refs pending

Spectral bounds for percolation on directed and undirected graphs

Kathleen E. Hamilton, Leonid P. Pryadko

arxiv:1503.00410 v1 · 2015-03-02 · math-ph · math.MP · physics.soc-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BA4PX37OE2VRG64QSSKX3EA37A}

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	2026-05-18T02:25:54.521938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0838fbefee26ab137b9094957d901bf809637f52ad41f9ff3ea504e2c689933b

Aliases

arxiv: 1503.00410 · arxiv_version: 1503.00410v1 · doi: 10.48550/arxiv.1503.00410 · pith_short_12: BA4PX37OE2VR · pith_short_16: BA4PX37OE2VRG64Q · pith_short_8: BA4PX37O

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/BA4PX37OE2VRG64QSSKX3EA37A \
  | 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: 0838fbefee26ab137b9094957d901bf809637f52ad41f9ff3ea504e2c689933b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39e7818313b43c75a00ac3eafcc55e87490508d45b4c5ebad1044d713f82cd85",
    "cross_cats_sorted": [
      "math.MP",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-02T04:11:38Z",
    "title_canon_sha256": "7b413eb9acca2d3324dc8da7803e8f46af7de6ded5e7dc3bd2ae7fe6e3427b94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00410",
    "kind": "arxiv",
    "version": 1
  }
}