Pith Number

pith:YLCWZYYP

pith:2011:YLCWZYYPWECTAIXA5R2U5NGJLS

not attested not anchored not stored refs pending

Exposed positive maps: a sufficient condition

Dariusz Chru\'sci\'nski, Gniewomir Sarbicki

arxiv:1111.2012 v2 · 2011-11-08 · 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{YLCWZYYPWECTAIXA5R2U5NGJLS}

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	2026-05-18T04:01:01.659583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2c56ce30fb1053022e0ec754eb4c95caf596103dafc39ebc3c45216327c6fd4

Aliases

arxiv: 1111.2012 · arxiv_version: 1111.2012v2 · doi: 10.48550/arxiv.1111.2012 · pith_short_12: YLCWZYYPWECT · pith_short_16: YLCWZYYPWECTAIXA · pith_short_8: YLCWZYYP

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/YLCWZYYPWECTAIXA5R2U5NGJLS \
  | 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: c2c56ce30fb1053022e0ec754eb4c95caf596103dafc39ebc3c45216327c6fd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c89a9269225f20401b933372e56bf417296df4bd0afa191038db5b03a9b2ffca",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-11-08T18:51:10Z",
    "title_canon_sha256": "89bdfe50396037b3ebefd1aadcb2855837b94cf5e21650afed0b062e6f0bc183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2012",
    "kind": "arxiv",
    "version": 2
  }
}