Pith Number

pith:UTKTEYKH

pith:2025:UTKTEYKHTX77GH2LTBITLYIMBE

not attested not anchored not stored refs pending

A deep shotgun method for solving high-dimensional parabolic partial differential equations

Wenjun Xu, Wenzhong Zhang

arxiv:2506.15481 v1 · 2025-06-18 · 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{UTKTEYKHTX77GH2LTBITLYIMBE}

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	2026-07-05T11:23:44.474473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d53261479dfff31f4b985135e10c0912e454fe9737738d4cc16e82e9222a2d

Aliases

arxiv: 2506.15481 · arxiv_version: 2506.15481v1 · doi: 10.48550/arxiv.2506.15481 · pith_short_12: UTKTEYKHTX77 · pith_short_16: UTKTEYKHTX77GH2L · pith_short_8: UTKTEYKH

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/UTKTEYKHTX77GH2LTBITLYIMBE \
  | 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: a4d53261479dfff31f4b985135e10c0912e454fe9737738d4cc16e82e9222a2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02221993c83283978dd1a717e85ec7ec598cc44d7e314be94b791c1c654c3f84",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-18T14:15:07Z",
    "title_canon_sha256": "71c78d954f6327d99d71ed18ce4fbf17daed830291de2e129ba87c91b4552e8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.15481",
    "kind": "arxiv",
    "version": 1
  }
}