Pith Number

pith:4KK2E7PE

pith:2013:4KK2E7PE44QC4XYMNDBAVRNUXY

not attested not anchored not stored refs pending

Some non monotone schemes for Hamilton-Jacobi-Bellman equations

Xavier Warin

arxiv:1312.5052 v3 · 2013-12-18 · 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{4KK2E7PE44QC4XYMNDBAVRNUXY}

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	2026-05-18T00:06:44.298625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e295a27de4e7202e5f0c68c20ac5b4be32c6d447ddc56c777d246faa47def310

Aliases

arxiv: 1312.5052 · arxiv_version: 1312.5052v3 · doi: 10.48550/arxiv.1312.5052 · pith_short_12: 4KK2E7PE44QC · pith_short_16: 4KK2E7PE44QC4XYM · pith_short_8: 4KK2E7PE

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/4KK2E7PE44QC4XYMNDBAVRNUXY \
  | 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: e295a27de4e7202e5f0c68c20ac5b4be32c6d447ddc56c777d246faa47def310

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8d15c9ee95ed2c44fe95abca30bbc5a14e118876958926ef7a8b0a48a531936",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-12-18T06:59:16Z",
    "title_canon_sha256": "12ace85c143068eb39721273e76955335de1c08592cb74185f52cbdd3d4349ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5052",
    "kind": "arxiv",
    "version": 3
  }
}