Pith Number

pith:WFYMBLAC

pith:2015:WFYMBLAC6JJV6V4YZYMPF7CQF6

not attested not anchored not stored refs pending

Relaxation Methods for Hyperbolic PDE Mixed-Integer Optimal Control Problems

Falk M. Hante

arxiv:1509.04052 v1 · 2015-09-14 · 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{WFYMBLAC6JJV6V4YZYMPF7CQF6}

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	2026-05-18T01:33:08.380837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b170c0ac02f2535f5798ce18f2fc502f88f510f00f2c250fa1e55576f79e4632

Aliases

arxiv: 1509.04052 · arxiv_version: 1509.04052v1 · doi: 10.48550/arxiv.1509.04052 · pith_short_12: WFYMBLAC6JJV · pith_short_16: WFYMBLAC6JJV6V4Y · pith_short_8: WFYMBLAC

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/WFYMBLAC6JJV6V4YZYMPF7CQF6 \
  | 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: b170c0ac02f2535f5798ce18f2fc502f88f510f00f2c250fa1e55576f79e4632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32d749c7762602fbb825d7cb0cb48a41b6c7e21547b26bbb94d9de0d60501482",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-14T12:19:29Z",
    "title_canon_sha256": "b6e85868a0e3b987fdfb17210eb84503d9253330254d52b399cf2fad5ef7138b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04052",
    "kind": "arxiv",
    "version": 1
  }
}