Pith Number

pith:5F3VBPCH

pith:2012:5F3VBPCHLPWXLLT75X65AIQVC2

not attested not anchored not stored refs pending

Spectral asymptotics for magnetic Schr\"odinger operators in domains with corners

Abdallah Khochman, Ayman Kachmar

arxiv:1208.1127 v1 · 2012-08-06 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5F3VBPCHLPWXLLT75X65AIQVC2}

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	2026-05-18T03:49:20.529231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e97750bc475bed75ae7fedfdd02215169e8b6423bfa43d5af44383c71d597e19

Aliases

arxiv: 1208.1127 · arxiv_version: 1208.1127v1 · doi: 10.48550/arxiv.1208.1127 · pith_short_12: 5F3VBPCHLPWX · pith_short_16: 5F3VBPCHLPWXLLT7 · pith_short_8: 5F3VBPCH

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/5F3VBPCHLPWXLLT75X65AIQVC2 \
  | 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: e97750bc475bed75ae7fedfdd02215169e8b6423bfa43d5af44383c71d597e19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "726c73dd7d92ba661e9ca4508e10165e5a77069ea21063a5268562c142a2e273",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-08-06T10:15:19Z",
    "title_canon_sha256": "8eeb1320089c11f130db93783b9536c6d2fa65852ce810b51369575426c5ee36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1127",
    "kind": "arxiv",
    "version": 1
  }
}