Pith Number

pith:4QSJXQT4

pith:2007:4QSJXQT4YCQXWHKSAEESIBNJB6

not attested not anchored not stored refs pending

Directed Percolation in Wireless Networks with Interference and Noise

Edmund M. Yeh, Zhenning Kong

arxiv:0712.2469 v1 · 2007-12-14 · cs.IT · cs.NI · math.IT · 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{4QSJXQT4YCQXWHKSAEESIBNJB6}

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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.

Cited by

1 paper in Pith

Percolation phase transitions for the SIR model with random powers

Receipt and verification

First computed	2026-07-04T15:06:18.231627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4249bc27cc0a17b1d5201092405a90fb346ffccea008cd48541229a1b71fd3d

Aliases

arxiv: 0712.2469 · arxiv_version: 0712.2469v1 · doi: 10.48550/arxiv.0712.2469 · pith_short_12: 4QSJXQT4YCQX · pith_short_16: 4QSJXQT4YCQXWHKS · pith_short_8: 4QSJXQT4

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/4QSJXQT4YCQXWHKSAEESIBNJB6 \
  | 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: e4249bc27cc0a17b1d5201092405a90fb346ffccea008cd48541229a1b71fd3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22fc2f83c02194559aef710cd446d1b9e5dcb992dec1185322f9c21f0eb09024",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-12-14T21:45:16Z",
    "title_canon_sha256": "b7b8e60bc86391269c41d27a6faff03f903d897bb80be718a982ea86cd8c1ab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2469",
    "kind": "arxiv",
    "version": 1
  }
}