Pith Number

pith:55XHHFYW

pith:2010:55XHHFYWMBKG5S5UBWN5YIC52R

not attested not anchored not stored refs pending

Dynamic Optimization and Learning for Renewal Systems

Michael J. Neely

arxiv:1011.5942 v1 · 2010-11-27 · 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{55XHHFYWMBKG5S5UBWN5YIC52R}

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	2026-05-18T04:34:37.849654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef6e73971660546ecbb40d9bdc205dd45f58a643ff753db9280f14ff505b67d2

Aliases

arxiv: 1011.5942 · arxiv_version: 1011.5942v1 · doi: 10.48550/arxiv.1011.5942 · pith_short_12: 55XHHFYWMBKG · pith_short_16: 55XHHFYWMBKG5S5U · pith_short_8: 55XHHFYW

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/55XHHFYWMBKG5S5UBWN5YIC52R \
  | 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: ef6e73971660546ecbb40d9bdc205dd45f58a643ff753db9280f14ff505b67d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a00845a06ade2f71fc712d27a2f880500593bccf598014394530d96c15533c89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-11-27T01:09:17Z",
    "title_canon_sha256": "6e2e0047527c27fc569e1573b2f865b7a95ea351399eaa8869d6d88914d9244f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5942",
    "kind": "arxiv",
    "version": 1
  }
}