Pith Number

pith:TVVF7ZB3

pith:2014:TVVF7ZB3NXIP777JY6Q4UWHNWH

not attested not anchored not stored refs pending

Critical points of the linear entropy for pure L-qubit states

Adam Sawicki, Tomasz Maciazek

arxiv:1407.2639 v4 · 2014-07-09 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TVVF7ZB3NXIP777JY6Q4UWHNWH}

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	2026-05-18T02:29:54.957882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d6a5fe43b6dd0ffffe9c7a1ca58edb1f4e94f1eaa22708f31a12b7fdd7e2eaa

Aliases

arxiv: 1407.2639 · arxiv_version: 1407.2639v4 · doi: 10.48550/arxiv.1407.2639 · pith_short_12: TVVF7ZB3NXIP · pith_short_16: TVVF7ZB3NXIP777J · pith_short_8: TVVF7ZB3

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/TVVF7ZB3NXIP777JY6Q4UWHNWH \
  | 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: 9d6a5fe43b6dd0ffffe9c7a1ca58edb1f4e94f1eaa22708f31a12b7fdd7e2eaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "346610ad0675c6dc2fcd85ab4fc8d07e70220597da7c681b7556a088fe8a7d78",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-07-09T21:16:00Z",
    "title_canon_sha256": "143210bc9a346f37334a3defcf04e153d86f25838fd51f34c245ec14be483b1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2639",
    "kind": "arxiv",
    "version": 4
  }
}