Pith Number

pith:FDGW25TC

pith:2014:FDGW25TCIDSMF2WQ3E75MI74XI

not attested not anchored not stored refs pending

Trace class conditions for functions of Schr\"odinger operators

Alexander Pushnitski, Rupert L. Frank

arxiv:1402.0763 v1 · 2014-02-04 · 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{FDGW25TCIDSMF2WQ3E75MI74XI}

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	2026-05-18T03:00:12.049148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28cd6d766240e4c2ead0d93fd623fcba2704d0d369d6622dd659b84d8085209a

Aliases

arxiv: 1402.0763 · arxiv_version: 1402.0763v1 · doi: 10.48550/arxiv.1402.0763 · pith_short_12: FDGW25TCIDSM · pith_short_16: FDGW25TCIDSMF2WQ · pith_short_8: FDGW25TC

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/FDGW25TCIDSMF2WQ3E75MI74XI \
  | 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: 28cd6d766240e4c2ead0d93fd623fcba2704d0d369d6622dd659b84d8085209a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9f35f8013bb2d15475d6735425e2870272f5702ab4fa7976f76f69f5e3acf90",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-02-04T15:30:34Z",
    "title_canon_sha256": "9efed73c090af20a75853c5ee917280363b01c035c4946f474e0bd6ccde261ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0763",
    "kind": "arxiv",
    "version": 1
  }
}