Pith Number

pith:RHBSPR4U

pith:2011:RHBSPR4UTYQEEMIPRFW6AC3YIE

not attested not anchored not stored refs pending

Singular perturbation of reduced wave equation and scattering from an embedded obstacle

Hongpeng Sun, Hongyu Liu, Jun Zou, Zaijiu Shang

arxiv:1111.2444 v3 · 2011-11-10 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RHBSPR4UTYQEEMIPRFW6AC3YIE}

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	2026-05-18T01:59:42.675487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89c327c7949e2042310f896de00b78413159e9052ea7eea5079460a108959ecf

Aliases

arxiv: 1111.2444 · arxiv_version: 1111.2444v3 · doi: 10.48550/arxiv.1111.2444 · pith_short_12: RHBSPR4UTYQE · pith_short_16: RHBSPR4UTYQEEMIP · pith_short_8: RHBSPR4U

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/RHBSPR4UTYQEEMIPRFW6AC3YIE \
  | 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: 89c327c7949e2042310f896de00b78413159e9052ea7eea5079460a108959ecf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd9a5846e2d14e3b5e54fed4538603f49765321ce39dc3d66c9da96d6876c4b5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-10T10:49:39Z",
    "title_canon_sha256": "a85bbffc4bf40913b13fde9a5861ddef01bcfcaee9d46e279c9192e035092d2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2444",
    "kind": "arxiv",
    "version": 3
  }
}