Pith Number

pith:PJY7PYYU

pith:2011:PJY7PYYU62BVQYKTVSG5VCLGUC

not attested not anchored not stored refs pending

Optimal Control of Brownian Inventory Models with Convex Holding Cost: Average Cost Case

Dacheng Yao, Jim Dai

arxiv:1110.2831 v2 · 2011-10-13 · 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{PJY7PYYU62BVQYKTVSG5VCLGUC}

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	2026-05-18T03:01:54.698276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a71f7e314f683586153ac8dda8966a095c21a464ace0032e974597592534010

Aliases

arxiv: 1110.2831 · arxiv_version: 1110.2831v2 · doi: 10.48550/arxiv.1110.2831 · pith_short_12: PJY7PYYU62BV · pith_short_16: PJY7PYYU62BVQYKT · pith_short_8: PJY7PYYU

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/PJY7PYYU62BVQYKTVSG5VCLGUC \
  | 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: 7a71f7e314f683586153ac8dda8966a095c21a464ace0032e974597592534010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de7febfbd0c05778d75a9a505c832c203de6a35008075e9d84cd8b52c00e2d42",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-10-13T03:03:41Z",
    "title_canon_sha256": "156bb937c10a6d1c7408a33bf9a9e3bf989173582b76a9348ad3df8be35f80fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2831",
    "kind": "arxiv",
    "version": 2
  }
}