Pith Number

pith:SK57IFZF

pith:2023:SK57IFZFSRULDRTQOXQFFHQB36

not attested not anchored not stored refs pending

Physical informed neural networks with soft and hard boundary constraints for solving advection-diffusion equations using Fourier expansions

Jiaxin Deng, Jinran Wu, Shaotong Zhang, Weide Li, Xi'an Li, You-Gan Wang

arxiv:2306.12749 v2 · 2023-06-22 · math.DS · 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{SK57IFZFSRULDRTQOXQFFHQB36}

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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.

Receipt and verification

First computed	2026-07-05T07:24:51.193883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92bbf417259468b1c67075e0529e01dfae0a1647a2ca67e1722912e7943aabaf

Aliases

arxiv: 2306.12749 · arxiv_version: 2306.12749v2 · doi: 10.48550/arxiv.2306.12749 · pith_short_12: SK57IFZFSRUL · pith_short_16: SK57IFZFSRULDRTQ · pith_short_8: SK57IFZF

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/SK57IFZFSRULDRTQOXQFFHQB36 \
  | 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: 92bbf417259468b1c67075e0529e01dfae0a1647a2ca67e1722912e7943aabaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4354f7c70d8469957077b5a21ec3a830dfa7746c5097954a9bfc583727fe719",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-06-22T09:04:40Z",
    "title_canon_sha256": "9fb1d5f5cd5d31cfd6bfb5d39cd43e35276d67f88e45f2e34235cc31b13d5989"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.12749",
    "kind": "arxiv",
    "version": 2
  }
}