Pith Number

pith:PAFWK6X2

pith:2010:PAFWK6X27PCZCR7YOIBRSBR5BW

not attested not anchored not stored refs pending

A priori estimates for high frequency scattering by obstacles of arbitrary shape

Boris Vainberg, Evgeny Lakshtanov

arxiv:1011.5261 v5 · 2010-11-23 · math-ph · hep-th · 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{PAFWK6X27PCZCR7YOIBRSBR5BW}

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	2026-05-18T03:18:18.875201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

780b657afafbc59147f8720319063d0d93804db0bfaa3484e3ecfe6d900e66ac

Aliases

arxiv: 1011.5261 · arxiv_version: 1011.5261v5 · doi: 10.48550/arxiv.1011.5261 · pith_short_12: PAFWK6X27PCZ · pith_short_16: PAFWK6X27PCZCR7Y · pith_short_8: PAFWK6X2

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/PAFWK6X27PCZCR7YOIBRSBR5BW \
  | 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: 780b657afafbc59147f8720319063d0d93804db0bfaa3484e3ecfe6d900e66ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9b3354ee3ddc1b44b7d79c54a2a0589a35d0db440a9c8028896d8a0136f17d4",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-23T23:55:23Z",
    "title_canon_sha256": "9a7097d245a1dff2544e7b7d70444df74f21aee3a6e8eee6597de54589c42eb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5261",
    "kind": "arxiv",
    "version": 5
  }
}