Pith Number

pith:V7VJK33F

pith:2025:V7VJK33FTUQHN2ZGMIIS5RCUAS

not attested not anchored not stored refs pending

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks

Nianyu Yi, Shihan Zhang, Shilin Zhang, Yunqing Huang

arxiv:2506.17908 v1 · 2025-06-22 · math.NA · cs.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{V7VJK33FTUQHN2ZGMIIS5RCUAS}

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	2026-07-05T11:25:25.298061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afea956f659d2076eb2662112ec45404a622776be5bd77b539bfaab82205dbe9

Aliases

arxiv: 2506.17908 · arxiv_version: 2506.17908v1 · doi: 10.48550/arxiv.2506.17908 · pith_short_12: V7VJK33FTUQH · pith_short_16: V7VJK33FTUQHN2ZG · pith_short_8: V7VJK33F

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/V7VJK33FTUQHN2ZGMIIS5RCUAS \
  | 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: afea956f659d2076eb2662112ec45404a622776be5bd77b539bfaab82205dbe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1611b8f6e8df74f27f3feb7662d69534e1daadb25f00c957a74e3f3076491aab",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-22T06:06:51Z",
    "title_canon_sha256": "0077cb16ce8df663d596aa115147033adc4493a22a9d67421212eed625fd6c03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17908",
    "kind": "arxiv",
    "version": 1
  }
}