Pith Number

pith:SD4R7QAF

pith:2009:SD4R7QAFFM5XKVM4E2NYG2PCK4

not attested not anchored not stored refs pending

Initialization of the Shooting Method via the Hamilton-Jacobi-Bellman Approach

Emiliano Cristiani, Pierre Martinon

arxiv:0910.0521 v1 · 2009-10-03 · math.OC · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SD4R7QAFFM5XKVM4E2NYG2PCK4}

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	2026-05-18T01:20:26.791594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90f91fc0052b3b75559c269b8369e25736dc0c4137eb8cc9d799115429f2263c

Aliases

arxiv: 0910.0521 · arxiv_version: 0910.0521v1 · doi: 10.48550/arxiv.0910.0521 · pith_short_12: SD4R7QAFFM5X · pith_short_16: SD4R7QAFFM5XKVM4 · pith_short_8: SD4R7QAF

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/SD4R7QAFFM5XKVM4E2NYG2PCK4 \
  | 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: 90f91fc0052b3b75559c269b8369e25736dc0c4137eb8cc9d799115429f2263c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "431116870dfb4ba50af9175f4159e8f9450c38ec34b67a50e55ed681745bbc3e",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-10-03T07:33:02Z",
    "title_canon_sha256": "b817dbc1d06e6c167c3192c7b4fc7fcc183526c81d227f044084353e32a3de6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0521",
    "kind": "arxiv",
    "version": 1
  }
}