Pith Number

pith:C3FTTFLZ

pith:2017:C3FTTFLZR5Q6ZWSXHNBB65PPN7

not attested not anchored not stored refs pending

Connection probabilities in Poisson random graphs with uniformly bounded edges

Alessandra Faggionato, Hlafo Alfie Mimun

arxiv:1712.07016 v3 · 2017-12-19 · math.PR · math-ph · 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{C3FTTFLZR5Q6ZWSXHNBB65PPN7}

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	2026-05-18T00:03:49.764980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16cb3995798f61ecda573b421f75ef6fd234a67e36f3b691c37d5cda66b730b8

Aliases

arxiv: 1712.07016 · arxiv_version: 1712.07016v3 · doi: 10.48550/arxiv.1712.07016 · pith_short_12: C3FTTFLZR5Q6 · pith_short_16: C3FTTFLZR5Q6ZWSX · pith_short_8: C3FTTFLZ

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/C3FTTFLZR5Q6ZWSXHNBB65PPN7 \
  | 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: 16cb3995798f61ecda573b421f75ef6fd234a67e36f3b691c37d5cda66b730b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "371cb2f7d59505012ff42724389adda714e3bfb2a779f0043a3abbc451efbcdb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-19T16:04:15Z",
    "title_canon_sha256": "ab9589412cd87919b11b9d8ddab4ea1df1f5c26de3217be11640c115354b3de7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07016",
    "kind": "arxiv",
    "version": 3
  }
}