Pith Number

pith:NOMBFQVR

pith:2017:NOMBFQVR47RLP6IB6WNHGMPVEG

not attested not anchored not stored refs pending

Optimal control of non-autonomous SEIRS models with vaccination and treatment

C\'esar M. Silva, Delfim F. M. Torres, Joaquim P. Mateus, Paulo Rebelo, Silv\'erio Rosa

arxiv:1706.06843 v2 · 2017-06-21 · math.OC · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NOMBFQVR47RLP6IB6WNHGMPVEG}

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	2026-05-18T00:13:37.797705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b9812c2b1e7e2b7f901f59a7331f5219fc84de6782c5071c743980bf61d2983

Aliases

arxiv: 1706.06843 · arxiv_version: 1706.06843v2 · doi: 10.48550/arxiv.1706.06843 · pith_short_12: NOMBFQVR47RL · pith_short_16: NOMBFQVR47RLP6IB · pith_short_8: NOMBFQVR

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/NOMBFQVR47RLP6IB6WNHGMPVEG \
  | 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: 6b9812c2b1e7e2b7f901f59a7331f5219fc84de6782c5071c743980bf61d2983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7449383a494e39376a671d652000e7ab08171f0c5a43722cb09b0bf72ea3d622",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-06-21T11:52:42Z",
    "title_canon_sha256": "66221e331713e734e309cd104673fd730ffbe1e1e0130ceaa5a569dcc61f6924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06843",
    "kind": "arxiv",
    "version": 2
  }
}