Pith Number

pith:4RLHHFIZ

pith:2013:4RLHHFIZXPDGV7S6PYUSQL5K6U

not attested not anchored not stored refs pending

Comparison of two semiclassical expansions for a family of PT-symmetric oscillators

Francisco M. Fern\'andez, Javier Garcia

arxiv:1312.5117 v1 · 2013-12-18 · 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{4RLHHFIZXPDGV7S6PYUSQL5K6U}

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	2026-05-18T03:04:16.217588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e456739519bbc66afe5e7e29282faaf50ea54874f464e20b09a95c8ff240d71c

Aliases

arxiv: 1312.5117 · arxiv_version: 1312.5117v1 · doi: 10.48550/arxiv.1312.5117 · pith_short_12: 4RLHHFIZXPDG · pith_short_16: 4RLHHFIZXPDGV7S6 · pith_short_8: 4RLHHFIZ

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/4RLHHFIZXPDGV7S6PYUSQL5K6U \
  | 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: e456739519bbc66afe5e7e29282faaf50ea54874f464e20b09a95c8ff240d71c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e39aa30039774e0b8af0970b141b537184bc6f86b9eff967b97627dd0ca84c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-12-18T12:44:33Z",
    "title_canon_sha256": "303f088865e9e920c923ff4ce417d7087cdd5601c2aca9fed46861cc115de220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5117",
    "kind": "arxiv",
    "version": 1
  }
}