Pith Number

pith:BEUSCPRP

pith:2011:BEUSCPRPKKXMZTHK3ZO4WGUJX5

not attested not anchored not stored refs pending

SIR epidemics on a scale-free spatial nested modular network with a non-trivial threshold

Alberto Gandolfi, Lorenzo Cecconi

arxiv:1107.1532 v1 · 2011-07-07 · 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{BEUSCPRPKKXMZTHK3ZO4WGUJX5}

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	2026-05-18T04:18:35.491482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0929213e2f52aecccceade5dcb1a89bf74b6777bc99cf6914f54d798c57c78ed

Aliases

arxiv: 1107.1532 · arxiv_version: 1107.1532v1 · doi: 10.48550/arxiv.1107.1532 · pith_short_12: BEUSCPRPKKXM · pith_short_16: BEUSCPRPKKXMZTHK · pith_short_8: BEUSCPRP

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/BEUSCPRPKKXMZTHK3ZO4WGUJX5 \
  | 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: 0929213e2f52aecccceade5dcb1a89bf74b6777bc99cf6914f54d798c57c78ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdef5fc30ed7f0aa81fdac2c3792e088a3ac597b87bf3a9d89f54fb26bdec02d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-07T22:04:05Z",
    "title_canon_sha256": "0f0069e44f09a572f3e021f685b8521f65a014cb34178560ee5bf21900006ce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1532",
    "kind": "arxiv",
    "version": 1
  }
}