Pith Number

pith:IHPZ36XW

pith:2015:IHPZ36XWDX6VVTDM5AQMIJHMQM

not attested not anchored not stored refs pending

On Lipschitz continuity of value functions for infinite horizon problem

Dmitry Khlopin

arxiv:1508.06777 v3 · 2015-08-27 · 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{IHPZ36XWDX6VVTDM5AQMIJHMQM}

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	2026-05-18T01:10:52.529582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41df9dfaf61dfd5acc6ce820c424ec832e84a36516747eb875a48631433f1384

Aliases

arxiv: 1508.06777 · arxiv_version: 1508.06777v3 · doi: 10.48550/arxiv.1508.06777 · pith_short_12: IHPZ36XWDX6V · pith_short_16: IHPZ36XWDX6VVTDM · pith_short_8: IHPZ36XW

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/IHPZ36XWDX6VVTDM5AQMIJHMQM \
  | 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: 41df9dfaf61dfd5acc6ce820c424ec832e84a36516747eb875a48631433f1384

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4ca1bd8239de59ef575eb3598510c70409842ac0981c3c43b93e9e5036b223c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-08-27T09:42:05Z",
    "title_canon_sha256": "b0d53ea2f8838cd272df41ee3b50ea6b1272f7cca7aed8398d3e0c0365fc2068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06777",
    "kind": "arxiv",
    "version": 3
  }
}