Pith Number

pith:TNP57AQ6

pith:2017:TNP57AQ6A3RSCF4AW4DDALBI7R

not attested not anchored not stored refs pending

Trace formulas for Schr\"odinger operators with complex potentials

Evgeny Korotyaev

arxiv:1712.09053 v1 · 2017-12-25 · 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{TNP57AQ6A3RSCF4AW4DDALBI7R}

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	2026-05-18T00:27:14.546569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b5fdf821e06e3211780b706302c28fc75433bb078a46f94eb032c6906890f27

Aliases

arxiv: 1712.09053 · arxiv_version: 1712.09053v1 · doi: 10.48550/arxiv.1712.09053 · pith_short_12: TNP57AQ6A3RS · pith_short_16: TNP57AQ6A3RSCF4A · pith_short_8: TNP57AQ6

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/TNP57AQ6A3RSCF4AW4DDALBI7R \
  | 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: 9b5fdf821e06e3211780b706302c28fc75433bb078a46f94eb032c6906890f27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6987046a9d5e9fc6d9331c4196cda13175aceff10238ed31d40ca2bd4e1ca47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-12-25T10:46:10Z",
    "title_canon_sha256": "bfd6def8976c410f4e93a2c28b9845839ce1f182f9b95740eb65839abbb2f851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09053",
    "kind": "arxiv",
    "version": 1
  }
}