Pith Number

pith:5MNEJP5Q

pith:2025:5MNEJP5QY57MAKVGEZMJDDRZQX

not attested not anchored not stored refs pending

Scattered point measurement-based regularization for backward problems for fractional wave equations

Dakang Cen, Wenlong Zhang, Zhiyuan Li

arxiv:2506.17575 v1 · 2025-06-21 · 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{5MNEJP5QY57MAKVGEZMJDDRZQX}

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	2026-07-05T11:25:19.736993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb1a44bfb0c77ec02aa62658918e3985c38a602e5c4ac2af53d5652b81c83130

Aliases

arxiv: 2506.17575 · arxiv_version: 2506.17575v1 · doi: 10.48550/arxiv.2506.17575 · pith_short_12: 5MNEJP5QY57M · pith_short_16: 5MNEJP5QY57MAKVG · pith_short_8: 5MNEJP5Q

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/5MNEJP5QY57MAKVGEZMJDDRZQX \
  | 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: eb1a44bfb0c77ec02aa62658918e3985c38a602e5c4ac2af53d5652b81c83130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c82ce5b43d5eb2948ba58c3f7424090c80c70ab5d8400d0f4134ab0dc32b48a",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-21T04:06:36Z",
    "title_canon_sha256": "2b09f92817a7dbcbac0df981e4e011bcbf5561e208fb94b93494d29fbdf4e7ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17575",
    "kind": "arxiv",
    "version": 1
  }
}