Pith Number

pith:KZP64MN4

pith:2009:KZP64MN4UUPKWBMINK7EWIUP4K

not attested not anchored not stored refs pending

Optimal treatment planning governed by kinetic equations

Albert N. Sandjo, Martin Frank, Michael Herty

arxiv:0904.0740 v1 · 2009-04-06 · 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{KZP64MN4UUPKWBMINK7EWIUP4K}

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	2026-05-18T03:56:24.573108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

565fee31bca51eab05886abe4b228fe2acc7e24baa6f1f953e10279e52236d06

Aliases

arxiv: 0904.0740 · arxiv_version: 0904.0740v1 · doi: 10.48550/arxiv.0904.0740 · pith_short_12: KZP64MN4UUPK · pith_short_16: KZP64MN4UUPKWBMI · pith_short_8: KZP64MN4

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/KZP64MN4UUPKWBMINK7EWIUP4K \
  | 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: 565fee31bca51eab05886abe4b228fe2acc7e24baa6f1f953e10279e52236d06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d54d75115f5d0ab6d81cd7c2a78cba09cc0b98f08ae67019f281d76c20c1766e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-04-06T15:58:42Z",
    "title_canon_sha256": "26999a1d5970bd8634e7fadf7b07f6dc028f6e45ee52cbdbd1d9cc0f8b509b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0740",
    "kind": "arxiv",
    "version": 1
  }
}