Pith Number

pith:QUTAKZFT

pith:2019:QUTAKZFTTLC5LQQTWGNLAZSWDP

not attested not anchored not stored refs pending

The Analytic Eigenvalue Structure of the 1+1 Dirac Oscillator

Bo-Xing Cao, Fu-Lin Zhang

arxiv:1908.09352 v3 · 2019-08-25 · 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{QUTAKZFTTLC5LQQTWGNLAZSWDP}

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	2026-07-05T01:31:49.447598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85260564b39ac5d5c213b19ab066561bdd4011087bf9f35053aa284a7d76f1ef

Aliases

arxiv: 1908.09352 · arxiv_version: 1908.09352v3 · doi: 10.48550/arxiv.1908.09352 · pith_short_12: QUTAKZFTTLC5 · pith_short_16: QUTAKZFTTLC5LQQT · pith_short_8: QUTAKZFT

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/QUTAKZFTTLC5LQQTWGNLAZSWDP \
  | 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: 85260564b39ac5d5c213b19ab066561bdd4011087bf9f35053aa284a7d76f1ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ede77d27bc71d907511289678e22f713078d9bdd51c2464799997d2771c653d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-08-25T16:08:38Z",
    "title_canon_sha256": "6fc5995ca7d55639463012665758cd2bbbee46157edd3f4869eb598fe53b17b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09352",
    "kind": "arxiv",
    "version": 3
  }
}