Pith Number

pith:MZADQWIS

pith:2012:MZADQWISQLYJZCBKIIKJU6KHUO

not attested not anchored not stored refs pending

Effects of city-size heterogeneity on epidemic spreading in a metapopulation: A reaction-diffusion approach

Halvor Lund, Ingve Simonsen, Ludvig Lizana

arxiv:1211.2163 v1 · 2012-11-09 · physics.soc-ph · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZADQWISQLYJZCBKIIKJU6KHUO}

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	2026-05-18T01:53:17.435546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

664038591282f09c882a42149a7947a3a2ae6007ecaae1090f4fcc93f68d5f52

Aliases

arxiv: 1211.2163 · arxiv_version: 1211.2163v1 · doi: 10.48550/arxiv.1211.2163 · pith_short_12: MZADQWISQLYJ · pith_short_16: MZADQWISQLYJZCBK · pith_short_8: MZADQWIS

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/MZADQWISQLYJZCBKIIKJU6KHUO \
  | 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: 664038591282f09c882a42149a7947a3a2ae6007ecaae1090f4fcc93f68d5f52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4050b416e9cb344cd1740750f31145aa47537f537f9ed4beb6dc14edb8254924",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2012-11-09T15:45:50Z",
    "title_canon_sha256": "1c7f607ebf3543fd42c5e23dd5943e0e82a4ba724936234c0b5620ce8e5da884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2163",
    "kind": "arxiv",
    "version": 1
  }
}