Pith Number

pith:GXK3J6IU

pith:2013:GXK3J6IU3BQUD53CELUUWUSXSO

not attested not anchored not stored refs pending

Spectral analysis of a quantum system with a double line singular interaction

David Krejcirik, Sylwia Kondej

arxiv:1307.1233 v1 · 2013-07-04 · math.SP · math-ph · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXK3J6IU3BQUD53CELUUWUSXSO}

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	2026-05-18T02:50:00.891543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35d5b4f914d86141f76222e94b525793a4ceae56cf194efab84916fc1d3bb09f

Aliases

arxiv: 1307.1233 · arxiv_version: 1307.1233v1 · doi: 10.48550/arxiv.1307.1233 · pith_short_12: GXK3J6IU3BQU · pith_short_16: GXK3J6IU3BQUD53C · pith_short_8: GXK3J6IU

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/GXK3J6IU3BQUD53CELUUWUSXSO \
  | 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: 35d5b4f914d86141f76222e94b525793a4ceae56cf194efab84916fc1d3bb09f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad8892e8bffcbfb0d64f660599085fc1089763021c3efd03260eb3dc1874c1b9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-07-04T08:03:38Z",
    "title_canon_sha256": "c4cc077242207f67c17b1abc003221497697f7772635ac20b778f9a5b8079cfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1233",
    "kind": "arxiv",
    "version": 1
  }
}