Pith Number

pith:3PUSJISH

pith:2017:3PUSJISH54W3B5JFBIBHBUZXAI

not attested not anchored not stored refs pending

Control of Time-Varying Epidemic-Like Stochastic Processes and Their Mean-Field Limits

Chai Wah Wu, Mark S. Squillante, Yingdong Lu

arxiv:1709.10345 v1 · 2017-09-27 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PUSJISH54W3B5JFBIBHBUZXAI}

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	2026-05-18T00:34:03.454875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbe924a247ef2db0f5250a0270d33702011e730e49a21f0428a0f6c00cd72c61

Aliases

arxiv: 1709.10345 · arxiv_version: 1709.10345v1 · doi: 10.48550/arxiv.1709.10345 · pith_short_12: 3PUSJISH54W3 · pith_short_16: 3PUSJISH54W3B5JF · pith_short_8: 3PUSJISH

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/3PUSJISH54W3B5JFBIBHBUZXAI \
  | 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: dbe924a247ef2db0f5250a0270d33702011e730e49a21f0428a0f6c00cd72c61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6aa2343e5830da52c1fa2f6d85f2f281f8046c6a043d252310dbc70465215f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-09-27T21:53:11Z",
    "title_canon_sha256": "2919fe59f5fba5c4647c03ace72d920d6d9ca1229e6bdc1d55e581782c16cb4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10345",
    "kind": "arxiv",
    "version": 1
  }
}