Pith Number

pith:GCXYN6Y3

pith:2021:GCXYN6Y3P44JEOHU2T2PNWCHM5

not attested not anchored not stored refs pending

Optimal control in linear stochastic advertising models with memory

Anton Yurchenko-Tytarenko, Michele Giordano

arxiv:2106.11604 v3 · 2021-06-22 · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCXYN6Y3P44JEOHU2T2PNWCHM5}

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	2026-07-05T05:26:01.861574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30af86fb1b7f389238f4d4f4f6d847675d5f579990d37aae96254fd82000aa58

Aliases

arxiv: 2106.11604 · arxiv_version: 2106.11604v3 · doi: 10.48550/arxiv.2106.11604 · pith_short_12: GCXYN6Y3P44J · pith_short_16: GCXYN6Y3P44JEOHU · pith_short_8: GCXYN6Y3

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/GCXYN6Y3P44JEOHU2T2PNWCHM5 \
  | 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: 30af86fb1b7f389238f4d4f4f6d847675d5f579990d37aae96254fd82000aa58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "068fa48e387d528d6e84f1a8b50e04910c53abf159694d82d3fbf71ff033db1c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-06-22T08:31:18Z",
    "title_canon_sha256": "f5adfc1bbbc57d906beb580c500670fa7b64eec92cf3b40b6457eeecaf76626b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.11604",
    "kind": "arxiv",
    "version": 3
  }
}