Pith Number

pith:N4DVBXS2

pith:2014:N4DVBXS2AMZO7RV2KRNZNXJCY2

not attested not anchored not stored refs pending

Analytic solutions of the quantum two-state problem in terms of the double-, bi- and tri-confluent Heun functions

A.E. Grigoryan, A.M. Ishkhanyan, T.A. Ishkhanyan, T.A. Shahverdyan

arxiv:1412.1378 v2 · 2014-12-01 · 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{N4DVBXS2AMZO7RV2KRNZNXJCY2}

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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	2026-05-18T01:34:55.169472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f0750de5a0332efc6ba545b96dd22c6aa102e0ccf595870296d147fe0b5683b

Aliases

arxiv: 1412.1378 · arxiv_version: 1412.1378v2 · doi: 10.48550/arxiv.1412.1378 · pith_short_12: N4DVBXS2AMZO · pith_short_16: N4DVBXS2AMZO7RV2 · pith_short_8: N4DVBXS2

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/N4DVBXS2AMZO7RV2KRNZNXJCY2 \
  | 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: 6f0750de5a0332efc6ba545b96dd22c6aa102e0ccf595870296d147fe0b5683b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "078df78ad87c3bf928e1bb4c1dde08697ee21c58a08e0b29a62ca4f1e768715f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-12-01T15:25:26Z",
    "title_canon_sha256": "a05237aaea9532c2ae8c77d47f338acbe65a4bf1573770e1b1eeb4260970509b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1378",
    "kind": "arxiv",
    "version": 2
  }
}