Pith Number

pith:VJ64PRKE

pith:2014:VJ64PRKEYPAEOMEAKGKBHKHPJ4

not attested not anchored not stored refs pending

The Boolean Model in the Shannon Regime: Three Thresholds and Related Asymptotics

Fran\c{c}ois Baccelli, Venkat Anantharam

arxiv:1408.1338 v1 · 2014-08-06 · math.PR · cond-mat.stat-mech · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJ64PRKEYPAEOMEAKGKBHKHPJ4}

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	2026-05-18T02:45:21.981354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa7dc7c544c3c0473080519413a8ef4f0cad95a023dadcb10976f83486304f65

Aliases

arxiv: 1408.1338 · arxiv_version: 1408.1338v1 · doi: 10.48550/arxiv.1408.1338 · pith_short_12: VJ64PRKEYPAE · pith_short_16: VJ64PRKEYPAEOMEA · pith_short_8: VJ64PRKE

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/VJ64PRKEYPAEOMEAKGKBHKHPJ4 \
  | 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: aa7dc7c544c3c0473080519413a8ef4f0cad95a023dadcb10976f83486304f65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3d955df1f83e1fb7e310b13f2e4af68391c4b96ea93cfc38252e7e4839f50c5",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-06T16:02:12Z",
    "title_canon_sha256": "53db5c4edc398314c6e0389f3306fa554f675094498f5835d23b9dae855d0948"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1338",
    "kind": "arxiv",
    "version": 1
  }
}