Pith Number

pith:KBVT7GVK

pith:2021:KBVT7GVKY5YAB7Y4TZGVUT36DR

not attested not anchored not stored refs pending

A Physics-Informed Neural Network Framework For Partial Differential Equations on 3D Surfaces: Time-Dependent Problems

Justin Zhang, Xiu Yang, Zhiwei Fang

arxiv:2103.13878 v1 · 2021-03-19 · cs.LG · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBVT7GVKY5YAB7Y4TZGVUT36DR}

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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.

Cited by

1 paper in Pith

Minimal surfaces, Knots, and Neural Networks

Receipt and verification

First computed	2026-07-05T02:26:23.251139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

506b3f9aaac77000ff1c9e4d5a4f7e1c7a51621d0bff8176ca1ecf378948673c

Aliases

arxiv: 2103.13878 · arxiv_version: 2103.13878v1 · doi: 10.48550/arxiv.2103.13878 · pith_short_12: KBVT7GVKY5YA · pith_short_16: KBVT7GVKY5YAB7Y4 · pith_short_8: KBVT7GVK

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/KBVT7GVKY5YAB7Y4TZGVUT36DR \
  | 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: 506b3f9aaac77000ff1c9e4d5a4f7e1c7a51621d0bff8176ca1ecf378948673c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7544cc54f90c7c2b076277f759ff9d4134fcdcc5a4f912299c4be24ed25b5d98",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-03-19T13:47:46Z",
    "title_canon_sha256": "835791c389888b587210cee99d5c9c9f4dcd64d44e24c00a3355b2254bbdb5ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.13878",
    "kind": "arxiv",
    "version": 1
  }
}