Pith Number

pith:3S6PYBXE

pith:2023:3S6PYBXE2AYFZLHZBTZKYDEYRE

not attested not anchored not stored refs pending

PINN for Dynamical Partial Differential Equations is Not Training Deeper Networks Rather Learning Advection and Time Variance

Siddharth Rout

arxiv:2301.04793 v1 · 2023-01-12 · physics.comp-ph · cs.NA · math.DS · 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{3S6PYBXE2AYFZLHZBTZKYDEYRE}

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.

Cited by

1 paper in Pith

Learning universal approximations for partial differential equations with Physics-Informed Broad Learning System

Receipt and verification

First computed	2026-07-05T05:32:36.246003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcbcfc06e4d0305cacf90cf2ac0c988914c7908a391d74866faf35e970c49c1c

Aliases

arxiv: 2301.04793 · arxiv_version: 2301.04793v1 · doi: 10.48550/arxiv.2301.04793 · pith_short_12: 3S6PYBXE2AYF · pith_short_16: 3S6PYBXE2AYFZLHZ · pith_short_8: 3S6PYBXE

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/3S6PYBXE2AYFZLHZBTZKYDEYRE \
  | 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: dcbcfc06e4d0305cacf90cf2ac0c988914c7908a391d74866faf35e970c49c1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eec8abf9c1dfeb9f6c46eb99b2080b3fd02ea3eba80173fee0ffe2e6440664ae",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DS",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2023-01-12T03:29:20Z",
    "title_canon_sha256": "1c9ffe3a14155f332325a0fa5fe875099a245f4f485de86620d9414a224c58dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.04793",
    "kind": "arxiv",
    "version": 1
  }
}