Pith Number

pith:IZZCWLJI

pith:2019:IZZCWLJINJ64V4LFHOHUMCIYKV

not attested not anchored not stored refs pending

Bures-Hall Ensemble: Spectral Densities and Average Entropies

Ayana Sarkar, Santosh Kumar

arxiv:1901.09587 v2 · 2019-01-28 · math-ph · math.MP · quant-ph · stat.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZZCWLJINJ64V4LFHOHUMCIYKV}

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	2026-05-17T23:40:55.507031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46722b2d286a7dcaf1653b8f46091855626fcc8edcdb45dcc46d25502ec3a381

Aliases

arxiv: 1901.09587 · arxiv_version: 1901.09587v2 · doi: 10.48550/arxiv.1901.09587 · pith_short_12: IZZCWLJINJ64 · pith_short_16: IZZCWLJINJ64V4LF · pith_short_8: IZZCWLJI

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/IZZCWLJINJ64V4LFHOHUMCIYKV \
  | 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: 46722b2d286a7dcaf1653b8f46091855626fcc8edcdb45dcc46d25502ec3a381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "002c3a908487bfd7113a1a468a2a92032a8dd5244c25a6f052772510e11520c8",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph",
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-01-28T10:38:13Z",
    "title_canon_sha256": "1cd01b53fde7ba2180975f760aa7b1bbfb0e27711e10364c00747f5b52fbb802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09587",
    "kind": "arxiv",
    "version": 2
  }
}