Pith Number

pith:CYGMVUY5

pith:2018:CYGMVUY5J6X75IKK7ZEPUZXSBB

not attested not anchored not stored refs pending

Algorithm for Hamilton-Jacobi equations in density space via a generalized Hopf formula

Stanley Osher, Wotao Yin, Wuchen Li, Yat Tin Chow

arxiv:1805.01636 v1 · 2018-05-04 · math.NA · math.AP · 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{CYGMVUY5J6X75IKK7ZEPUZXSBB}

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	2026-05-18T00:16:47.226212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

160ccad31d4faffea14afe48fa66f2085c4d1512e1695efc3fb7fada7bee08a0

Aliases

arxiv: 1805.01636 · arxiv_version: 1805.01636v1 · doi: 10.48550/arxiv.1805.01636 · pith_short_12: CYGMVUY5J6X7 · pith_short_16: CYGMVUY5J6X75IKK · pith_short_8: CYGMVUY5

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/CYGMVUY5J6X75IKK7ZEPUZXSBB \
  | 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: 160ccad31d4faffea14afe48fa66f2085c4d1512e1695efc3fb7fada7bee08a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d64a5d6a789cec12b4b38bd2fd80ecee65a287914da6d7c2f26beae79eef75c6",
    "cross_cats_sorted": [
      "math.AP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-05-04T07:47:41Z",
    "title_canon_sha256": "a4390c37a46d60ab59691a8c9b7ded6be262c52f3575ea56b4cc6297d276948f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01636",
    "kind": "arxiv",
    "version": 1
  }
}