Pith Number

pith:CSPJSXKV

pith:2016:CSPJSXKVXLT4G3B7NBOHFJWEQW

not attested not anchored not stored refs pending

Lightening of Assumptions for Pontryagin Principles in Infinite Horizon and Discrete Time

Jo\"el Blot (SAMM), Thoi-Nhan Ngo (SAMM)

arxiv:1601.08147 v2 · 2016-01-29 · 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{CSPJSXKVXLT4G3B7NBOHFJWEQW}

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	2026-05-18T01:21:25.045087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

149e995d55bae7c36c3f685c72a6c485b31d40a4bc2db0f5171a61a04a23b340

Aliases

arxiv: 1601.08147 · arxiv_version: 1601.08147v2 · doi: 10.48550/arxiv.1601.08147 · pith_short_12: CSPJSXKVXLT4 · pith_short_16: CSPJSXKVXLT4G3B7 · pith_short_8: CSPJSXKV

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/CSPJSXKVXLT4G3B7NBOHFJWEQW \
  | 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: 149e995d55bae7c36c3f685c72a6c485b31d40a4bc2db0f5171a61a04a23b340

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f119d34a76c889c2d721633e18ea0351ff4df7f449cec7b3c4b197874c8edc01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-01-29T15:01:45Z",
    "title_canon_sha256": "bb3fdb276827c9d00495ca5154d0483572b3d39bd96067f3d48b7b874bf0911f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.08147",
    "kind": "arxiv",
    "version": 2
  }
}