Pith Number

pith:MHC5FJUM

pith:2021:MHC5FJUMDPOOM7PN4FOBM23JCR

not attested not anchored not stored refs pending

A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions

Shuning Lin, Yong Chen

arxiv:2107.01009 v1 · 2021-07-02 · nlin.SI · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHC5FJUMDPOOM7PN4FOBM23JCR}

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	2026-07-05T04:04:19.737483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61c5d2a68c1bdce67dede15c166b6914638c44acf6916a57f504ff3ba7aac1c8

Aliases

arxiv: 2107.01009 · arxiv_version: 2107.01009v1 · doi: 10.48550/arxiv.2107.01009 · pith_short_12: MHC5FJUMDPOO · pith_short_16: MHC5FJUMDPOOM7PN · pith_short_8: MHC5FJUM

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/MHC5FJUMDPOOM7PN4FOBM23JCR \
  | 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: 61c5d2a68c1bdce67dede15c166b6914638c44acf6916a57f504ff3ba7aac1c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f49ea1e7499f0522992f424dfec7b9aecf3097b15d9decc79dc73bde133f321",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2021-07-02T12:29:50Z",
    "title_canon_sha256": "485804ce9859752548ff0a778297930393eabc9c4dc22eaf6aadf68384d12570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01009",
    "kind": "arxiv",
    "version": 1
  }
}