Pith Number

pith:QWYM5AVK

pith:2009:QWYM5AVKARKCNGGKYC4DUCV5WP

not attested not anchored not stored refs pending

Discrete Hamilton-Jacobi Theory

Anthony M. Bloch, Melvin Leok, Tomoki Ohsawa

arxiv:0911.2258 v2 · 2009-11-11 · 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{QWYM5AVKARKCNGGKYC4DUCV5WP}

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	2026-05-18T04:15:36.926626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85b0ce82aa04542698cac0b83a0abdb3d72162938ba30aacc8eadcd1e7e1bf4e

Aliases

arxiv: 0911.2258 · arxiv_version: 0911.2258v2 · doi: 10.48550/arxiv.0911.2258 · pith_short_12: QWYM5AVKARKC · pith_short_16: QWYM5AVKARKCNGGK · pith_short_8: QWYM5AVK

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/QWYM5AVKARKCNGGKYC4DUCV5WP \
  | 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: 85b0ce82aa04542698cac0b83a0abdb3d72162938ba30aacc8eadcd1e7e1bf4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40a74078e6dcbf2f579f2c64b5117a2c0aab5459be33ae8d622ec12a62b7ebcf",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-11-11T22:27:58Z",
    "title_canon_sha256": "322bbabb11cd437e5a2e7777310444972eecf3ad2bc19794988fcb9fd112323b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2258",
    "kind": "arxiv",
    "version": 2
  }
}