Pith Number

pith:WXLCC57H

pith:2026:WXLCC57HW6VPS5NOXGXC3432RW

not attested not anchored not stored refs pending

A Deep Second-Order Stochastic Residual Method for Fully Nonlinear Parabolic PDEs

Jihao Long, Zhenhua Zhao

arxiv:2607.16730 v1 · 2026-07-18 · math.NA · cs.NA · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXLCC57HW6VPS5NOXGXC3432RW}

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	2026-07-21T01:20:23.971569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5d62177e7b7aaf975aeb9ae2df37a8d945f805d562d5d404fad3cc28f6dd68b

Aliases

arxiv: 2607.16730 · arxiv_version: 2607.16730v1 · doi: 10.48550/arxiv.2607.16730 · pith_short_12: WXLCC57HW6VP · pith_short_16: WXLCC57HW6VPS5NO · pith_short_8: WXLCC57H

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/WXLCC57HW6VPS5NOXGXC3432RW \
  | 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: b5d62177e7b7aaf975aeb9ae2df37a8d945f805d562d5d404fad3cc28f6dd68b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff1a2f2d8f96f68e94653369da63dac9c29e91bf41fb95ae1c90c681728326da",
    "cross_cats_sorted": [
      "cs.NA",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-18T09:43:15Z",
    "title_canon_sha256": "279061625b30020c172ab0c23edfb9c35f175ab31c19e27a605b9957ae596e82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16730",
    "kind": "arxiv",
    "version": 1
  }
}