pith. sign in
Pith Number

pith:FQCBZFM2

pith:2013:FQCBZFM2DGNE4OHO56QWCLEPTP
not attested not anchored not stored refs pending

1-D Schr\"odinger operators with local point interactions: a review

Aleksey Kostenko, Mark Malamud

arxiv:1303.4055 v1 · 2013-03-17 · math-ph · math.CA · math.MP · math.SP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FQCBZFM2DGNE4OHO56QWCLEPTP}

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 2026-05-18T03:19:04.282410Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2c041c959a199a4e38eeefa1612c8f9bdae026eeedc7a681b01b0ffd393d0f97

Aliases

arxiv: 1303.4055 · arxiv_version: 1303.4055v1 · doi: 10.48550/arxiv.1303.4055 · pith_short_12: FQCBZFM2DGNE · pith_short_16: FQCBZFM2DGNE4OHO · pith_short_8: FQCBZFM2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FQCBZFM2DGNE4OHO56QWCLEPTP \
  | 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: 2c041c959a199a4e38eeefa1612c8f9bdae026eeedc7a681b01b0ffd393d0f97
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "07bffdd406890c3025ddf0ab2cab3f72c156dddfeffe5e418740e73f6bcc27a0",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-03-17T12:04:35Z",
    "title_canon_sha256": "46d17880ea8d4cf00ddf998e43a0db8d4978fcef0c3506b34ffc2852a10d95b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4055",
    "kind": "arxiv",
    "version": 1
  }
}