Pith Number

pith:76THMIVI

pith:2020:76THMIVIKQB3TXMMHU7N2SNEZV

not attested not anchored not stored refs pending

Deep-learning based discovery of partial differential equations in integral form from sparse and noisy data

Dongxiao Zhang, Hao Xu, Nanzhe Wang

arxiv:2011.11981 v1 · 2020-11-24 · cs.LG · cs.NA · math.NA · physics.comp-ph · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{76THMIVIKQB3TXMMHU7N2SNEZV}

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	2026-07-05T03:13:23.841771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffa67622a85403b9dd8c3d3edd49a4cd6ca471f37cffb254d411cb3c072ace68

Aliases

arxiv: 2011.11981 · arxiv_version: 2011.11981v1 · doi: 10.48550/arxiv.2011.11981 · pith_short_12: 76THMIVIKQB3 · pith_short_16: 76THMIVIKQB3TXMM · pith_short_8: 76THMIVI

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/76THMIVIKQB3TXMMHU7N2SNEZV \
  | 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: ffa67622a85403b9dd8c3d3edd49a4cd6ca471f37cffb254d411cb3c072ace68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed684056f1da32b105b854d69633896cd9547e7158397d992315366e06927393",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "physics.comp-ph",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-11-24T09:18:39Z",
    "title_canon_sha256": "3efcaec2b8cee4c0afaedf080ebbe8b4ceed3c5b80066466044135431fc22f8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.11981",
    "kind": "arxiv",
    "version": 1
  }
}