Pith Number

pith:E4MHPZUZ

pith:2017:E4MHPZUZDREIW3FFHZH2L7YW2M

not attested not anchored not stored refs pending

Time-Optimal Collaborative Guidance Using the Generalized Hopf Formula

Gary Hewer, J\'er\^ome Darbon, Matthew R. Kirchner, Robert Mar, Stanley Osher, Y.T. Chow

arxiv:1709.06590 v3 · 2017-09-19 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4MHPZUZDREIW3FFHZH2L7YW2M}

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	2026-05-18T00:24:22.334371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

271877e6991c488b6ca53e4fa5ff16d32e218d9820bf2582e08621d0fcdbf27d

Aliases

arxiv: 1709.06590 · arxiv_version: 1709.06590v3 · doi: 10.48550/arxiv.1709.06590 · pith_short_12: E4MHPZUZDREI · pith_short_16: E4MHPZUZDREIW3FF · pith_short_8: E4MHPZUZ

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/E4MHPZUZDREIW3FFHZH2L7YW2M \
  | 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: 271877e6991c488b6ca53e4fa5ff16d32e218d9820bf2582e08621d0fcdbf27d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebc76d3f3eefb8e7d305968852bd58ab35251d5bed1bcb506392167282916bbe",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-09-19T18:19:42Z",
    "title_canon_sha256": "cd8919b90c40e2e5c511661630373a542a22629d63593245f203b6037ea05b1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06590",
    "kind": "arxiv",
    "version": 3
  }
}