Pith Number

pith:LR2MZXLX

pith:2020:LR2MZXLXYCFYB2ZHX4NUECOT37

not attested not anchored not stored refs pending

Smooth subsolutions of the discounted Hamilton-Jacobi equations

Jianlu Zhang, Kai Zhao, Liang Jin, Xiyao Huang

arxiv:2007.10687 v4 · 2020-07-21 · math.DS · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LR2MZXLXYCFYB2ZHX4NUECOT37}

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	2026-07-05T09:44:31.709854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c74ccdd77c08b80eb27bf1b4209d3dff71ebc493b97056be7267090f7f25ff7

Aliases

arxiv: 2007.10687 · arxiv_version: 2007.10687v4 · doi: 10.48550/arxiv.2007.10687 · pith_short_12: LR2MZXLXYCFY · pith_short_16: LR2MZXLXYCFYB2ZH · pith_short_8: LR2MZXLX

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/LR2MZXLXYCFYB2ZHX4NUECOT37 \
  | 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: 5c74ccdd77c08b80eb27bf1b4209d3dff71ebc493b97056be7267090f7f25ff7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d86f347b8dabdc64499832df9e9e4c5714d386f2addaba4b6343e7af0bbff0b7",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2020-07-21T09:53:47Z",
    "title_canon_sha256": "391cb44a86a36e0b26ab4760abbc00f2a119649c16fa438331e9ae53af9b09b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.10687",
    "kind": "arxiv",
    "version": 4
  }
}