Pith Number

pith:S2LCQAG4

pith:2013:S2LCQAG4HCLPHYTXXNCOT2SSG3

not attested not anchored not stored refs pending

Averaging and linear programming in some singularly perturbed problems of optimal control

Sergei Rossomakhine, Vladimir Gaitsgory

arxiv:1309.3734 v3 · 2013-09-15 · 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{S2LCQAG4HCLPHYTXXNCOT2SSG3}

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	2026-05-18T02:44:56.899568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96962800dc3896f3e277bb44e9ea5236cec10113dbf8f17ffd99883f4725749f

Aliases

arxiv: 1309.3734 · arxiv_version: 1309.3734v3 · doi: 10.48550/arxiv.1309.3734 · pith_short_12: S2LCQAG4HCLP · pith_short_16: S2LCQAG4HCLPHYTX · pith_short_8: S2LCQAG4

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/S2LCQAG4HCLPHYTXXNCOT2SSG3 \
  | 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: 96962800dc3896f3e277bb44e9ea5236cec10113dbf8f17ffd99883f4725749f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c68b9d9ce2f507d891f7392600e7b30fff8e1fab2cc4f66c91f4fda6cfa2077c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-09-15T06:23:21Z",
    "title_canon_sha256": "f8ea0ef0e6b4b3ac16e98cf2232e7e5d1f3109a4927ce8f1b98829dba12639bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3734",
    "kind": "arxiv",
    "version": 3
  }
}