Pith Number

pith:X5Z7OF2V

pith:2013:X5Z7OF2V7GC7CK7J4FF5G3NXQ3

not attested not anchored not stored refs pending

Slow epidemic extinction in populations with heterogeneous infection rates

C. Buono, F. Vazquez, L. A. Braunstein, P. A. Macri

arxiv:1301.1645 v2 · 2013-01-08 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5Z7OF2V7GC7CK7J4FF5G3NXQ3}

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	2026-05-18T03:14:52.929073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf73f71755f985f12be9e14bd36db786d3d567b244e26265bf2598e79045ccbf

Aliases

arxiv: 1301.1645 · arxiv_version: 1301.1645v2 · doi: 10.48550/arxiv.1301.1645 · pith_short_12: X5Z7OF2V7GC7 · pith_short_16: X5Z7OF2V7GC7CK7J · pith_short_8: X5Z7OF2V

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/X5Z7OF2V7GC7CK7J4FF5G3NXQ3 \
  | 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: bf73f71755f985f12be9e14bd36db786d3d567b244e26265bf2598e79045ccbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4655533db9237df47b11a2bb7c47459b2eb5f4b3fe2c97eac1360216e4521270",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2013-01-08T19:23:31Z",
    "title_canon_sha256": "5014ee94a5728a70ff5a5b299d504a750ce4321ddcafef7c73aec460894c42c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1645",
    "kind": "arxiv",
    "version": 2
  }
}