Pith Number

pith:TCRAZ4GE

pith:2014:TCRAZ4GESAUAY6VJFDG2I6RVUM

not attested not anchored not stored refs pending

Entanglement witnesses: construction, analysis and classification

Dariusz Chru\'sci\'nski, Gniewomir Sarbicki

arxiv:1402.2413 v1 · 2014-02-11 · 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{TCRAZ4GESAUAY6VJFDG2I6RVUM}

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	2026-05-18T02:30:32.235839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a20cf0c490280c7aa928cda47a35a316e3c802b7a70176e16ca39bd91310a0

Aliases

arxiv: 1402.2413 · arxiv_version: 1402.2413v1 · doi: 10.48550/arxiv.1402.2413 · pith_short_12: TCRAZ4GESAUA · pith_short_16: TCRAZ4GESAUAY6VJ · pith_short_8: TCRAZ4GE

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/TCRAZ4GESAUAY6VJFDG2I6RVUM \
  | 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: 98a20cf0c490280c7aa928cda47a35a316e3c802b7a70176e16ca39bd91310a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28183798e5064178cd3d9a1585617c135fef9691745f6e6dbbc4fadb5e51c7f9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-02-11T09:51:27Z",
    "title_canon_sha256": "bb2a8fb73301a7538dd1405dc692d1f0b320624ae1b2cc4bf2f3bc6fdae4e1e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2413",
    "kind": "arxiv",
    "version": 1
  }
}