Pith Number

pith:QY4NRRJW

pith:2012:QY4NRRJWA44Z3RIMMRMALJEBCF

not attested not anchored not stored refs pending

Using Poisson processes to model lattice cellular networks

Bartlomiej Blaszczyszyn (INRIA Rocquencourt), Holger Paul Keeler (INRIA Rocquencourt), Mohamed Kadhem Karray (FT R&D)

arxiv:1207.7208 v2 · 2012-07-31 · math.PR · cs.NI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QY4NRRJWA44Z3RIMMRMALJEBCF}

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	2026-05-18T03:36:06.354156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8638d8c53607399dc50c645805a481115d1bcc918be39e90ca846d46be1b6d52

Aliases

arxiv: 1207.7208 · arxiv_version: 1207.7208v2 · doi: 10.48550/arxiv.1207.7208 · pith_short_12: QY4NRRJWA44Z · pith_short_16: QY4NRRJWA44Z3RIM · pith_short_8: QY4NRRJW

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/QY4NRRJWA44Z3RIMMRMALJEBCF \
  | 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: 8638d8c53607399dc50c645805a481115d1bcc918be39e90ca846d46be1b6d52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ed25949bd0d321d5f7f4d1829e73e358efe84c67b73442bffbbdd45afa753ef",
    "cross_cats_sorted": [
      "cs.NI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-31T10:34:52Z",
    "title_canon_sha256": "22a84c938972a954c11ae1da20f0ce8d43097b3079255fd4d67bf368d5e570e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7208",
    "kind": "arxiv",
    "version": 2
  }
}