Pith Number

pith:7WSV6WDU

pith:2016:7WSV6WDUBSKRBMSN7OTZDQNDRO

not attested not anchored not stored refs pending

Trace formulae for Schr\"odinger operators with complex-valued potentials on cubic lattices

Ari Laptev, Evgeny Korotyaev

arxiv:1609.09703 v1 · 2016-09-30 · 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{7WSV6WDUBSKRBMSN7OTZDQNDRO}

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	2026-05-18T01:03:33.634420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fda55f58740c9510b24dfba791c1a38b987d03edea00e2885cef6079f0112ae9

Aliases

arxiv: 1609.09703 · arxiv_version: 1609.09703v1 · doi: 10.48550/arxiv.1609.09703 · pith_short_12: 7WSV6WDUBSKR · pith_short_16: 7WSV6WDUBSKRBMSN · pith_short_8: 7WSV6WDU

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/7WSV6WDUBSKRBMSN7OTZDQNDRO \
  | 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: fda55f58740c9510b24dfba791c1a38b987d03edea00e2885cef6079f0112ae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e26717044c038b5ec2c02a193de45b4b307ce9eb908be216ccd71c0a229de0a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-09-30T12:49:36Z",
    "title_canon_sha256": "b1d87e1d62946ab4de52348e456b307868fbbb413070ec80179adb2a222d8d0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09703",
    "kind": "arxiv",
    "version": 1
  }
}