Pith Number

pith:YUJBOW2G

pith:2020:YUJBOW2GQTACZNNFPQIKSP5UXN

not attested not anchored not stored refs pending

Optimal Control of Joint Multi-Virus Infection and Information Spreading

Denis Fedyanin, Elena Gubar, Ilya Petrov, Quanyan Zhu, Vladislav Taynitskiy

arxiv:2007.09745 v1 · 2020-07-19 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YUJBOW2GQTACZNNFPQIKSP5UXN}

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	2026-07-05T01:20:28.746612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c512175b4684c02cb5a57c10a93fb4bb7f154f5d0abd317ef4719aac4e64f144

Aliases

arxiv: 2007.09745 · arxiv_version: 2007.09745v1 · doi: 10.48550/arxiv.2007.09745 · pith_short_12: YUJBOW2GQTAC · pith_short_16: YUJBOW2GQTACZNNF · pith_short_8: YUJBOW2G

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/YUJBOW2GQTACZNNFPQIKSP5UXN \
  | 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: c512175b4684c02cb5a57c10a93fb4bb7f154f5d0abd317ef4719aac4e64f144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8a91af685bac62ff1e385a48a8a1f3e84e76b8c10579faefcaa6dd82594eb17",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-07-19T18:43:03Z",
    "title_canon_sha256": "853efbb8a387f1403b412c55afc4fac4a0217b8edf62675669110568e4cb7fe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.09745",
    "kind": "arxiv",
    "version": 1
  }
}