Pith Number

pith:5P3SH3OC

pith:2026:5P3SH3OCKL3W6GIE7MWANEAKR3

not attested not anchored not stored refs pending

Optimal mean-time path planning for unmanned underwater vehicles: a Hamilton-Jacobi approach

Jeremy Brandman, Jonathan Valyou, Sanghyun Lee

arxiv:2607.03407 v1 · 2026-07-03 · 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{5P3SH3OCKL3W6GIE7MWANEAKR3}

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	2026-07-07T02:17:41.735561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebf723edc252f76f1904fb2c06900a8ee65ebb5988031ad44d42b4d763f5cf10

Aliases

arxiv: 2607.03407 · arxiv_version: 2607.03407v1 · doi: 10.48550/arxiv.2607.03407 · pith_short_12: 5P3SH3OCKL3W · pith_short_16: 5P3SH3OCKL3W6GIE · pith_short_8: 5P3SH3OC

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/5P3SH3OCKL3W6GIE7MWANEAKR3 \
  | 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: ebf723edc252f76f1904fb2c06900a8ee65ebb5988031ad44d42b4d763f5cf10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bb71c0adb778b01edb413aa97b6859cc0563932622a3b00790f24305896ee77",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-03T15:12:35Z",
    "title_canon_sha256": "b9c74c068c8761d4e4b205edbb985f068c148702e03839a8fb801439fd807087"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03407",
    "kind": "arxiv",
    "version": 1
  }
}