Pith Number

pith:7UTIUWJ2

pith:2026:7UTIUWJ23ZCRRMKAJPNBTNVQYT

not attested not anchored not stored refs pending

Quantum Physics-Informed Neural Networks for Solving Integro and Fractional PDEs

Deepak Gupta, Ratikanta Behera

arxiv:2606.26865 v1 · 2026-06-25 · math.AP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UTIUWJ23ZCRRMKAJPNBTNVQYT}

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	2026-06-26T01:16:02.268984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd268a593ade4518b1404bda19b6b0c4c11d0a3e3e82fe9d4d0e25081ff52fe0

Aliases

arxiv: 2606.26865 · arxiv_version: 2606.26865v1 · doi: 10.48550/arxiv.2606.26865 · pith_short_12: 7UTIUWJ23ZCR · pith_short_16: 7UTIUWJ23ZCRRMKA · pith_short_8: 7UTIUWJ2

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/7UTIUWJ23ZCRRMKAJPNBTNVQYT \
  | 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: fd268a593ade4518b1404bda19b6b0c4c11d0a3e3e82fe9d4d0e25081ff52fe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "255c7dd8412b6ca2f3ce420f0420ce5f841f4bb9f793f678bfe977b1647b0b33",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-25T10:51:47Z",
    "title_canon_sha256": "3bbe25f2e39a577ea061f1fb7747d92eb4d1c8526d65ee599239f9a2898262c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26865",
    "kind": "arxiv",
    "version": 1
  }
}