Pith Number

pith:57TQEE3P

pith:2026:57TQEE3PWR7UGVJ5YN7YJD5ANM

not attested not anchored not stored refs pending

Residual-Christoffel Sampling for Random Feature Collocation of Linear PDEs

Jiale Linghu, Yangshuai Wang

arxiv:2607.13382 v1 · 2026-07-15 · math.NA · cs.NA · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57TQEE3PWR7UGVJ5YN7YJD5ANM}

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	2026-07-16T00:22:14.979844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efe702136fb47f43553dc37f848fa06b3326cf9c7bee451a4069000757d5334f

Aliases

arxiv: 2607.13382 · arxiv_version: 2607.13382v1 · doi: 10.48550/arxiv.2607.13382 · pith_short_12: 57TQEE3PWR7U · pith_short_16: 57TQEE3PWR7UGVJ5 · pith_short_8: 57TQEE3P

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/57TQEE3PWR7UGVJ5YN7YJD5ANM \
  | 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: efe702136fb47f43553dc37f848fa06b3326cf9c7bee451a4069000757d5334f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "300f2b73d9ebbf84cd1d935dfd1eadcae9ceede13578ad8ec6b3b1473046362d",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-15T02:21:24Z",
    "title_canon_sha256": "7bee92737b479f95593cbc9bef6c4fe6de7e0a70d7c625b06ea8221641b23d72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13382",
    "kind": "arxiv",
    "version": 1
  }
}