Pith Number

pith:OY2HTWJ5

pith:2018:OY2HTWJ5XSBMKPCRTBL6TV5I6D

not attested not anchored not stored refs pending

A Hopf-Lax formula for Hamilton-Jacobi equations with Caputo time derivative

Elisa Iacomini, Fabio Camilli, Raul De Maio

arxiv:1803.09296 v1 · 2018-03-25 · math.AP · math.NA · 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{OY2HTWJ5XSBMKPCRTBL6TV5I6D}

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	2026-05-18T00:20:12.084528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

763479d93dbc82c53c519857e9d7a8f0f7c733716b1ba567a9eb1cc6607f55a6

Aliases

arxiv: 1803.09296 · arxiv_version: 1803.09296v1 · doi: 10.48550/arxiv.1803.09296 · pith_short_12: OY2HTWJ5XSBM · pith_short_16: OY2HTWJ5XSBMKPCR · pith_short_8: OY2HTWJ5

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/OY2HTWJ5XSBMKPCRTBL6TV5I6D \
  | 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: 763479d93dbc82c53c519857e9d7a8f0f7c733716b1ba567a9eb1cc6607f55a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a7946a693659bca852717d69d6606660ccb9f583c0c7061a70222766b7f0f2a",
    "cross_cats_sorted": [
      "math.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-25T17:14:43Z",
    "title_canon_sha256": "12aa1289e8ade969b8f274b6e4d8d1914681b42caf17aa50eb134bce85c8a646"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09296",
    "kind": "arxiv",
    "version": 1
  }
}