Pith Number

pith:AOBC7JMG

pith:2026:AOBC7JMGQJUTRWBYWU7ORVTYXK

not attested not anchored not stored refs pending

Double screening in the training dynamics of variational physics-informed neural networks for heterogeneous coupled parabolic systems

Ali Ouattara Kouma, Gossrin Jean-Marc Bomisso

arxiv:2607.21352 v1 · 2026-07-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOBC7JMGQJUTRWBYWU7ORVTYXK}

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	2026-07-24T01:24:27.163277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03822fa586826938d838b53ee8d678ba833fb23fdacd01e6c4a81eb63d25e4ba

Aliases

arxiv: 2607.21352 · arxiv_version: 2607.21352v1 · doi: 10.48550/arxiv.2607.21352 · pith_short_12: AOBC7JMGQJUT · pith_short_16: AOBC7JMGQJUTRWBY · pith_short_8: AOBC7JMG

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/AOBC7JMGQJUTRWBYWU7ORVTYXK \
  | 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: 03822fa586826938d838b53ee8d678ba833fb23fdacd01e6c4a81eb63d25e4ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f05332a7e91d0ea87d22d6cf8dbe2c91e495b2f333a0c9c269abcdf075de6eee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-23T14:16:44Z",
    "title_canon_sha256": "700f1b4eb318cc6f7fc18cf98dec3c78e71f47cf62f9e002dbfe5b8332948597"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21352",
    "kind": "arxiv",
    "version": 1
  }
}