Pith Number

pith:WNF5KCTP

pith:2008:WNF5KCTPT2I5WT7ZP7UPC27BEP

not attested not anchored not stored refs pending

On the energy of bound states for magnetic Schr\"odinger operators

A. Kachmar, S. Fournais

arxiv:0810.0122 v1 · 2008-10-01 · 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{WNF5KCTPT2I5WT7ZP7UPC27BEP}

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	2026-05-18T02:58:11.115139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b34bd50a6f9e91db4ff97fe8f16be123e2d8ad184da01a1faea7bda328ba261f

Aliases

arxiv: 0810.0122 · arxiv_version: 0810.0122v1 · doi: 10.48550/arxiv.0810.0122 · pith_short_12: WNF5KCTPT2I5 · pith_short_16: WNF5KCTPT2I5WT7Z · pith_short_8: WNF5KCTP

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/WNF5KCTPT2I5WT7ZP7UPC27BEP \
  | 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: b34bd50a6f9e91db4ff97fe8f16be123e2d8ad184da01a1faea7bda328ba261f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c526e0a824fd0f9f27cf32526094e1f41433ca09cb2ba26ab9b93e69c8016b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2008-10-01T10:40:05Z",
    "title_canon_sha256": "18f9daef7166802042fd9a87aa96194700f6d7db08fffd52c02959466ff82eb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.0122",
    "kind": "arxiv",
    "version": 1
  }
}