Pith Number

pith:MQ2AWLVD

pith:2013:MQ2AWLVD2EMSOLYX62HEUMIPIE

not attested not anchored not stored refs pending

Approximations of quantum-graph vertex couplings by singularly scaled rank-one operators

Pavel Exner, Stepan Manko

arxiv:1310.5856 v1 · 2013-10-22 · 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{MQ2AWLVD2EMSOLYX62HEUMIPIE}

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	2026-05-18T01:46:56.419522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64340b2ea3d119272f17f68e4a310f411cfb44b0fa4be49487affd6dda3f765b

Aliases

arxiv: 1310.5856 · arxiv_version: 1310.5856v1 · doi: 10.48550/arxiv.1310.5856 · pith_short_12: MQ2AWLVD2EMS · pith_short_16: MQ2AWLVD2EMSOLYX · pith_short_8: MQ2AWLVD

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/MQ2AWLVD2EMSOLYX62HEUMIPIE \
  | 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: 64340b2ea3d119272f17f68e4a310f411cfb44b0fa4be49487affd6dda3f765b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3c49daff45a0b5c0d3d98692367944352d532608cc38ccdebd45a75be370759",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-10-22T09:36:20Z",
    "title_canon_sha256": "39d55c54ad69176180d3dbe6293f8addec834e32d58b6c67e37a4f378a260f43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5856",
    "kind": "arxiv",
    "version": 1
  }
}