Pith Number

pith:5EO5PSHC

pith:2018:5EO5PSHCVGSXCUBA5TPELFYS3A

not attested not anchored not stored refs pending

GSE spectra in uni-directional quantum systems

Boris Gutkin, Maram Akila

arxiv:1811.09860 v1 · 2018-11-24 · 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{5EO5PSHCVGSXCUBA5TPELFYS3A}

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	2026-05-17T23:45:32.817992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e91dd7c8e2a9a5715020ecde459712d81bbaa17862fe7581d7f22091baef0413

Aliases

arxiv: 1811.09860 · arxiv_version: 1811.09860v1 · doi: 10.48550/arxiv.1811.09860 · pith_short_12: 5EO5PSHCVGSX · pith_short_16: 5EO5PSHCVGSXCUBA · pith_short_8: 5EO5PSHC

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/5EO5PSHCVGSXCUBA5TPELFYS3A \
  | 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: e91dd7c8e2a9a5715020ecde459712d81bbaa17862fe7581d7f22091baef0413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6cd5b5c11ad4086c5471183bda755649c6ebd0043721e0cdbeb4cfeebdcadf1",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-11-24T17:19:24Z",
    "title_canon_sha256": "d3d3f32d50f558de7e4db0f28b64d0498bbb5d059487d3b1a26a3d64bcd5a20b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09860",
    "kind": "arxiv",
    "version": 1
  }
}