Pith Number

pith:4KJ5AWFX

pith:2013:4KJ5AWFXOAFSGR3OWSYTKSMX4H

not attested not anchored not stored refs pending

Multiple Vectors Propagation of Epidemics in Complex Networks

Dawei Zhao, Haipeng Peng, Lixiang Li, Qun Luo, Yixian Yang

arxiv:1307.1834 v1 · 2013-07-07 · physics.soc-ph · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KJ5AWFXOAFSGR3OWSYTKSMX4H}

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	2026-05-18T03:19:03.372675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e293d058b7700b23476eb4b1354997e1ce1879cbcd4104d78f01dba9b714e92e

Aliases

arxiv: 1307.1834 · arxiv_version: 1307.1834v1 · doi: 10.48550/arxiv.1307.1834 · pith_short_12: 4KJ5AWFXOAFS · pith_short_16: 4KJ5AWFXOAFSGR3O · pith_short_8: 4KJ5AWFX

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/4KJ5AWFXOAFSGR3OWSYTKSMX4H \
  | 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: e293d058b7700b23476eb4b1354997e1ce1879cbcd4104d78f01dba9b714e92e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bd08ccb5d28bb90b4803eff0050b13056e3a389653f3dbfd02da542745080c8",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2013-07-07T06:23:10Z",
    "title_canon_sha256": "0ab39eaee930df4421d6795892ce245accc2d77d60096bc434ab1ba83ee33275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1834",
    "kind": "arxiv",
    "version": 1
  }
}