Pith Number

pith:7EJ2SUB3

pith:2013:7EJ2SUB3TTGKIDLXCVRMTUTK7W

not attested not anchored not stored refs pending

Mathematical models for epidemic spreading on complex networks

Wojciech Ganczarek

arxiv:1307.5503 v1 · 2013-07-21 · physics.soc-ph · cs.SI · 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{7EJ2SUB3TTGKIDLXCVRMTUTK7W}

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	2026-05-18T03:17:55.490760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f913a9503b9ccca40d771562c9d26afd8f037b8f976f6988083d770c5bae166a

Aliases

arxiv: 1307.5503 · arxiv_version: 1307.5503v1 · doi: 10.48550/arxiv.1307.5503 · pith_short_12: 7EJ2SUB3TTGK · pith_short_16: 7EJ2SUB3TTGKIDLX · pith_short_8: 7EJ2SUB3

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/7EJ2SUB3TTGKIDLXCVRMTUTK7W \
  | 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: f913a9503b9ccca40d771562c9d26afd8f037b8f976f6988083d770c5bae166a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6be8ce4cb68542d713ffadd3c4245dbddf1209e976ddeffe5b67f8aa2d512b8",
    "cross_cats_sorted": [
      "cs.SI",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2013-07-21T08:19:45Z",
    "title_canon_sha256": "4e48eeb5ba9b44814969d5c9d2e9534c4cd2bb6b6e548af0311b07459ea20deb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5503",
    "kind": "arxiv",
    "version": 1
  }
}