Pith Number

pith:RO2P5KFG

pith:2017:RO2P5KFGWEP6WDECNTFROMW7VF

not attested not anchored not stored refs pending

Hamilton-Jacobi equations for optimal control on networks with entry or exit costs

Manh-Khang Dao (IRMAR)

arxiv:1706.08748 v2 · 2017-06-27 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RO2P5KFGWEP6WDECNTFROMW7VF}

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	2026-05-18T00:24:59.901187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bb4fea8a6b11feb0c826ccb1732dfa9502bc31b733f115fddd789bfec76681b

Aliases

arxiv: 1706.08748 · arxiv_version: 1706.08748v2 · doi: 10.48550/arxiv.1706.08748 · pith_short_12: RO2P5KFGWEP6 · pith_short_16: RO2P5KFGWEP6WDEC · pith_short_8: RO2P5KFG

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/RO2P5KFGWEP6WDECNTFROMW7VF \
  | 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: 8bb4fea8a6b11feb0c826ccb1732dfa9502bc31b733f115fddd789bfec76681b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a205f7f6a627bcbbb77f0a257dbc8ce0a78173eb732eeb666220459f668d4f8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-06-27T09:26:01Z",
    "title_canon_sha256": "e7ff5318b89dbaf4122ce945916ce69788cf8230c08478a25eb46d968036d6c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08748",
    "kind": "arxiv",
    "version": 2
  }
}