Pith Number

pith:SJPR4V2A

pith:2010:SJPR4V2AJMCBMM5SJC2RPJ5IY2

not attested not anchored not stored refs pending

Quasi-classical asymptotics for pseudo-differential operators with discontinuous symbols: Widom's Conjecture

Alexander V. Sobolev

arxiv:1004.2576 v2 · 2010-04-15 · math.SP · 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{SJPR4V2AJMCBMM5SJC2RPJ5IY2}

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	2026-05-18T03:11:10.002249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

925f1e57404b041633b248b517a7a8c6b6127e9a610552ca40558cb25766747e

Aliases

arxiv: 1004.2576 · arxiv_version: 1004.2576v2 · doi: 10.48550/arxiv.1004.2576 · pith_short_12: SJPR4V2AJMCB · pith_short_16: SJPR4V2AJMCBMM5S · pith_short_8: SJPR4V2A

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/SJPR4V2AJMCBMM5SJC2RPJ5IY2 \
  | 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: 925f1e57404b041633b248b517a7a8c6b6127e9a610552ca40558cb25766747e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5367702b6db573c2e9dd8e8050532c35746a47dc43250f3bc95a2f818b0225f7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-04-15T08:13:32Z",
    "title_canon_sha256": "df86261876fe3bae80a50b8b56664e70b149e80bb12d4de6acc3c6ec5241ef24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2576",
    "kind": "arxiv",
    "version": 2
  }
}