Pith Number

pith:S2WKCP3W

pith:2005:S2WKCP3W4RMZ5G7V3VYUOFL2RZ

not attested not anchored not stored refs pending

Sharp Spectral Asymptotics for Operators with Irregular Coefficients. IV. Multidimensional Schroedinger operator with a strong magnetic field. Full-rank case

Victor Ivrii

arxiv:math/0510327 v2 · 2005-10-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S2WKCP3W4RMZ5G7V3VYUOFL2RZ}

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	2026-05-18T04:21:00.888324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96aca13f76e4599e9bf5dd7147157a8e62ae73ffcb440bca6000f8a99ed5597f

Aliases

arxiv: math/0510327 · arxiv_version: math/0510327v2 · doi: 10.48550/arxiv.math/0510327 · pith_short_12: S2WKCP3W4RMZ · pith_short_16: S2WKCP3W4RMZ5G7V · pith_short_8: S2WKCP3W

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/S2WKCP3W4RMZ5G7V3VYUOFL2RZ \
  | 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: 96aca13f76e4599e9bf5dd7147157a8e62ae73ffcb440bca6000f8a99ed5597f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de74649226e622d20a4b209a6d035f6679df9ffe7768672a5a790bdc6a9b829",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2005-10-16T09:57:32Z",
    "title_canon_sha256": "69016951171a5c365e5f1b15b4eb9b3d05ff174da368ff016fd3844c05014f49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510327",
    "kind": "arxiv",
    "version": 2
  }
}