Pith Number

pith:NVEVJGQW

pith:2019:NVEVJGQW3RHLPUS77HF737BV5H

not attested not anchored not stored refs pending

New families of non-parity-time-symmetric complex potentials with all-real spectra

Bijan Bagchi, Jianke Yang

arxiv:1908.03758 v2 · 2019-08-10 · 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{NVEVJGQW3RHLPUS77HF737BV5H}

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	2026-07-05T01:18:37.802980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d49549a16dc4eb7d25ff9cbfdfc35e9c64daf5827f9921b9629ddbbeab4580e

Aliases

arxiv: 1908.03758 · arxiv_version: 1908.03758v2 · doi: 10.48550/arxiv.1908.03758 · pith_short_12: NVEVJGQW3RHL · pith_short_16: NVEVJGQW3RHLPUS7 · pith_short_8: NVEVJGQW

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/NVEVJGQW3RHLPUS77HF737BV5H \
  | 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: 6d49549a16dc4eb7d25ff9cbfdfc35e9c64daf5827f9921b9629ddbbeab4580e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3febaea1aba6407fd5583f59a7e1230fa024cc05ba4fd78c9842f3a9832a7134",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-10T14:02:47Z",
    "title_canon_sha256": "4906637501dcfb707d745dbbfc7b8c6a217f49257c46344bcdca4df7c293d22c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03758",
    "kind": "arxiv",
    "version": 2
  }
}