Pith Number

pith:QRFUXZQP

pith:2016:QRFUXZQPKEQ4ZLI4PZVW27GGCJ

not attested not anchored not stored refs pending

Eigenfunction expansions in the imaginary Lobachevsky space

D.R. Petrosyan, G.S. Pogosyan, V.S. Otchik, Yu.A. Kurochkin

arxiv:1603.07971 v1 · 2016-03-25 · 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{QRFUXZQPKEQ4ZLI4PZVW27GGCJ}

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	2026-05-18T00:35:35.842558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

844b4be60f5121ccad1c7e6b6d7cc6126a90a08789cb664efad07fd961c5ab10

Aliases

arxiv: 1603.07971 · arxiv_version: 1603.07971v1 · doi: 10.48550/arxiv.1603.07971 · pith_short_12: QRFUXZQPKEQ4 · pith_short_16: QRFUXZQPKEQ4ZLI4 · pith_short_8: QRFUXZQP

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/QRFUXZQPKEQ4ZLI4PZVW27GGCJ \
  | 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: 844b4be60f5121ccad1c7e6b6d7cc6126a90a08789cb664efad07fd961c5ab10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07b30a1118012d3fb78b73f03aa9e7913db978fdff6c63716bc58d63f99adfe2",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-03-25T17:45:07Z",
    "title_canon_sha256": "2a219c27052e3edd2024928d9984eeb7a641b3b73dd4b3abad64d4c3535a852b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07971",
    "kind": "arxiv",
    "version": 1
  }
}