Pith Number

pith:S2B6TCBB

pith:2007:S2B6TCBBR24NYZ2PI5B33ADKKF

not attested not anchored not stored refs pending

Weyl asymptotics for magnetic Schr\"odinger operators and de Gennes' boundary condition

Ayman Kachmar

arxiv:0709.1032 v4 · 2007-09-07 · 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{S2B6TCBBR24NYZ2PI5B33ADKKF}

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	2026-05-18T02:16:11.454204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9683e988218eb8dc674f4743bd806a515a7872b35a23c34bcaac4f7530620b6b

Aliases

arxiv: 0709.1032 · arxiv_version: 0709.1032v4 · doi: 10.48550/arxiv.0709.1032 · pith_short_12: S2B6TCBBR24N · pith_short_16: S2B6TCBBR24NYZ2P · pith_short_8: S2B6TCBB

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/S2B6TCBBR24NYZ2PI5B33ADKKF \
  | 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: 9683e988218eb8dc674f4743bd806a515a7872b35a23c34bcaac4f7530620b6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd39e23099ee86fa2fc7ee39454725dc31071534afc67143a4ae0a2da255c05b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2007-09-07T09:42:16Z",
    "title_canon_sha256": "623dee030eeabd0fcd441f92ddfd6a76fe2558bacc83e26c727fce04e35d4579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.1032",
    "kind": "arxiv",
    "version": 4
  }
}