Pith Number

pith:7VTFNYCI

pith:2026:7VTFNYCIITXPUX5I56SEL3OKAT

not attested not anchored not stored refs pending

Quantitative Particle Approximation for Controlled Nonlinear Filtering

Erhan Bayraktar, Ibrahim Ekren, Xihao He, Xin Zhang

arxiv:2608.00686 v1 · 2026-08-01 · 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{7VTFNYCIITXPUX5I56SEL3OKAT}

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	2026-08-04T01:54:39.624593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd6656e04844eefa5fa8efa445edca04e69c7db1f53c4226270aa013bf92e27b

Aliases

arxiv: 2608.00686 · arxiv_version: 2608.00686v1 · doi: 10.48550/arxiv.2608.00686 · pith_short_12: 7VTFNYCIITXP · pith_short_16: 7VTFNYCIITXPUX5I · pith_short_8: 7VTFNYCI

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/7VTFNYCIITXPUX5I56SEL3OKAT \
  | 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: fd6656e04844eefa5fa8efa445edca04e69c7db1f53c4226270aa013bf92e27b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04561b5bbf4874224b04fc8a6e51263be92f2feed7f5b9c44ab043a30899ae48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-01T14:16:25Z",
    "title_canon_sha256": "5494fb1f69533fe5b3c25283106e302c72b962da2b48a46c7efb426e534b6545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00686",
    "kind": "arxiv",
    "version": 1
  }
}