Pith Number

pith:5N7KNT4H

pith:2025:5N7KNT4HOB2LZG4JGVUP4P2KJ7

not attested not anchored not stored refs pending

Deep Tangent Bundle (DTB) method: a Deep Neural Network approach to compute solutions of PDES

Haomin Zhou, Hao Wu

arxiv:2509.00957 v1 · 2025-08-31 · 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{5N7KNT4HOB2LZG4JGVUP4P2KJ7}

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	2026-07-05T12:02:25.704006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb7ea6cf877074bc9b893568fe3f4a4fd81832318ec75719530ad829e062f333

Aliases

arxiv: 2509.00957 · arxiv_version: 2509.00957v1 · doi: 10.48550/arxiv.2509.00957 · pith_short_12: 5N7KNT4HOB2L · pith_short_16: 5N7KNT4HOB2LZG4J · pith_short_8: 5N7KNT4H

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/5N7KNT4HOB2LZG4JGVUP4P2KJ7 \
  | 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: eb7ea6cf877074bc9b893568fe3f4a4fd81832318ec75719530ad829e062f333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12ee5de3f21c1fcf519fb145d462cd904a92355d493ff6c7cc1bf6170b067da3",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-08-31T18:39:42Z",
    "title_canon_sha256": "57d17ba92ed03840451a61fbf4e90751598717cf90d24d59b45679df7173de47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.00957",
    "kind": "arxiv",
    "version": 1
  }
}