Pith Number

pith:T5NUKKKS

pith:2018:T5NUKKKS3SZUZFJGF5VQ62R5WB

not attested not anchored not stored refs pending

Optimal control of the customer dynamics based on marketing policy

C. M. Silva, H. Alves, P. G. Carvalho, P. Rebelo, S. Rosa

arxiv:1802.05489 v1 · 2018-02-15 · 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{T5NUKKKS3SZUZFJGF5VQ62R5WB}

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	2026-05-18T00:23:15.535245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f5b452952dcb34c95262f6b0f6a3db044df8bd9f3db3d98e9bdf3a0b5350d83

Aliases

arxiv: 1802.05489 · arxiv_version: 1802.05489v1 · doi: 10.48550/arxiv.1802.05489 · pith_short_12: T5NUKKKS3SZU · pith_short_16: T5NUKKKS3SZUZFJG · pith_short_8: T5NUKKKS

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/T5NUKKKS3SZUZFJGF5VQ62R5WB \
  | 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: 9f5b452952dcb34c95262f6b0f6a3db044df8bd9f3db3d98e9bdf3a0b5350d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c4a2102a17b71d4f87db2d9274114c6e51bc678013adfe3848ab4de42fe7a5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-02-15T11:29:11Z",
    "title_canon_sha256": "b9c8d73de14ec93f5f1c4e085953d970c422d512f7d61fc0d044700646e50dad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.05489",
    "kind": "arxiv",
    "version": 1
  }
}