Pith Number

pith:UXWAXH27

pith:2012:UXWAXH27DKWOEWLF6EOIZZPO6P

not attested not anchored not stored refs pending

Necessity of vanishing shadow price in infinite horizon control problems

Dmitry Khlopin

arxiv:1207.5358 v1 · 2012-07-23 · 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{UXWAXH27DKWOEWLF6EOIZZPO6P}

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	2026-05-18T03:50:23.777775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5ec0b9f5f1aace25965f11c8ce5eef3f585f607c4ce185e03db43d36c5f6b39

Aliases

arxiv: 1207.5358 · arxiv_version: 1207.5358v1 · doi: 10.48550/arxiv.1207.5358 · pith_short_12: UXWAXH27DKWO · pith_short_16: UXWAXH27DKWOEWLF · pith_short_8: UXWAXH27

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/UXWAXH27DKWOEWLF6EOIZZPO6P \
  | 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: a5ec0b9f5f1aace25965f11c8ce5eef3f585f607c4ce185e03db43d36c5f6b39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "936772b65e3dd475f4648c25b50c1bdb4294131e753074996b9852bc561bbbac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-07-23T11:18:39Z",
    "title_canon_sha256": "6e444585e659c114aa3d3955157e89ac2cf781c03350f7ed2a5cef730ee63a10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5358",
    "kind": "arxiv",
    "version": 1
  }
}