Pith Number

pith:SBX74QDC

pith:2020:SBX74QDCZAI7WBHCBICVV6SSC4

not attested not anchored not stored refs pending

Beyond just "flattening the curve": Optimal control of epidemics with purely non-pharmaceutical interventions

Markus Kantner, Thomas Koprucki

arxiv:2004.09471 v3 · 2020-04-20 · q-bio.PE · math.DS · math.OC · 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{SBX74QDCZAI7WBHCBICVV6SSC4}

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	2026-07-05T01:27:46.057996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

906ffe4062c811fb04e20a055afa521716dbdc7434545cad45064c63d0d061cc

Aliases

arxiv: 2004.09471 · arxiv_version: 2004.09471v3 · doi: 10.48550/arxiv.2004.09471 · pith_short_12: SBX74QDCZAI7 · pith_short_16: SBX74QDCZAI7WBHC · pith_short_8: SBX74QDC

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/SBX74QDCZAI7WBHCBICVV6SSC4 \
  | 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: 906ffe4062c811fb04e20a055afa521716dbdc7434545cad45064c63d0d061cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "995f9a23f4bcd967ca0f7a55234fdc771dbee6ecaa363539039417956d5c08c4",
    "cross_cats_sorted": [
      "math.DS",
      "math.OC",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2020-04-20T17:47:55Z",
    "title_canon_sha256": "879c8454343eb7c18165bd0110e153dbb6f59fd97989fd46d8b19e23fde0be32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.09471",
    "kind": "arxiv",
    "version": 3
  }
}