Pith Number

pith:UIZYF7AF

pith:2026:UIZYF7AFZFU65OOUPHIIVVNEM2

not attested not anchored not stored refs pending

Split Complex-Valued Physics-Informed Neural Networks for Forward and Inverse Nonlinear PDEs

Biswanath Barman, Debdeep Chatterjee, Rajendra K. Ray

arxiv:2607.15087 v1 · 2026-07-16 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UIZYF7AFZFU65OOUPHIIVVNEM2}

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	2026-07-17T01:22:08.818646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a23382fc05c969eeb9d479d08ad5a466af90ec0dcddedc8f36a90d470c0ce010

Aliases

arxiv: 2607.15087 · arxiv_version: 2607.15087v1 · doi: 10.48550/arxiv.2607.15087 · pith_short_12: UIZYF7AFZFU6 · pith_short_16: UIZYF7AFZFU65OOU · pith_short_8: UIZYF7AF

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/UIZYF7AFZFU65OOUPHIIVVNEM2 \
  | 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: a23382fc05c969eeb9d479d08ad5a466af90ec0dcddedc8f36a90d470c0ce010

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4389de1e7b941880e775600fc4a083d3c4d7fc76bc44deb777a18d0479c86a60",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-07-16T14:58:54Z",
    "title_canon_sha256": "c1eb51d1d0df6e7c14989e71229b2bd8e75c98f4f1a0f7bfb1d277421aca1c76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15087",
    "kind": "arxiv",
    "version": 1
  }
}