Pith Number

pith:JQEXT2M5

pith:2026:JQEXT2M555VARJYTFV6BNVBMCI

not attested not anchored not stored refs pending

A Fractional-Memory Physics-Informed Neural Network with Fast History Compression for Tempered Fractional Coupled Phase-Field Systems

Himanshu Kumar Dwivedi, Matthias Ehrhardt, Rajeev, Shubham Kumar

arxiv:2606.22191 v1 · 2026-06-20 · math.NA · cs.NA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQEXT2M555VARJYTFV6BNVBMCI}

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	2026-06-23T02:13:31.487455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c0979e99def6a08a7132d7c16d42c120e63bc2f652903f6f7741692872cdf09

Aliases

arxiv: 2606.22191 · arxiv_version: 2606.22191v1 · doi: 10.48550/arxiv.2606.22191 · pith_short_12: JQEXT2M555VA · pith_short_16: JQEXT2M555VARJYT · pith_short_8: JQEXT2M5

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/JQEXT2M555VARJYTFV6BNVBMCI \
  | 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: 4c0979e99def6a08a7132d7c16d42c120e63bc2f652903f6f7741692872cdf09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c508e8ae5f105502b1ec938300a4023d407f67d1ad3ec57cdd4d3696cb1644c3",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-20T18:53:14Z",
    "title_canon_sha256": "acca1a07265a3d3cf31c9381295cfefe9323da0d3b4beec57219e272e94025aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22191",
    "kind": "arxiv",
    "version": 1
  }
}