Pith Number

pith:MN5LILUF

pith:2021:MN5LILUFWYF7TAED4GNQ54UHNA

not attested not anchored not stored refs pending

Hamilton-Jacobi equations with their Hamiltonians depending Lipschitz continuously on the unknown

Hitoshi Ishii, Jun Yan, Kaizhi Wang, Lin Wang

arxiv:2108.11216 v1 · 2021-08-25 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MN5LILUFWYF7TAED4GNQ54UHNA}

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	2026-07-05T03:08:50.789050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

637ab42e85b60bf98083e19b0ef287680cc8f5681d9e196260bd6df191c4148b

Aliases

arxiv: 2108.11216 · arxiv_version: 2108.11216v1 · doi: 10.48550/arxiv.2108.11216 · pith_short_12: MN5LILUFWYF7 · pith_short_16: MN5LILUFWYF7TAED · pith_short_8: MN5LILUF

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/MN5LILUFWYF7TAED4GNQ54UHNA \
  | 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: 637ab42e85b60bf98083e19b0ef287680cc8f5681d9e196260bd6df191c4148b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f91739f32535bc3a2a45d1d54faf16818a3dc0e116b1a9870921b36276a2ee4",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-08-25T13:08:05Z",
    "title_canon_sha256": "1d87ab3c8401943324ad978846b53ae6a42c4d53cf83da52144ecd01b090819d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.11216",
    "kind": "arxiv",
    "version": 1
  }
}