Pith Number

pith:4T4PBLGD

pith:2012:4T4PBLGDYR2OG24BGU3XPYM6MI

not attested not anchored not stored refs pending

A geometric characterization of invertible quantum measurement maps

Chi-Kwong Li, Jin-Chuan Hou, Kan He

arxiv:1210.0433 v1 · 2012-10-01 · quant-ph · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4T4PBLGDYR2OG24BGU3XPYM6MI}

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	2026-05-18T03:34:59.114554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4f8f0acc3c474e36b81353777e19e621cec1d9fc3a0c45db951d8f7bda7ed06

Aliases

arxiv: 1210.0433 · arxiv_version: 1210.0433v1 · doi: 10.48550/arxiv.1210.0433 · pith_short_12: 4T4PBLGDYR2O · pith_short_16: 4T4PBLGDYR2OG24B · pith_short_8: 4T4PBLGD

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/4T4PBLGDYR2OG24BGU3XPYM6MI \
  | 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: e4f8f0acc3c474e36b81353777e19e621cec1d9fc3a0c45db951d8f7bda7ed06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "710e3ef9df0372328c2d6264a77ddf0d54453ed6244018fa6cb52e6afc108276",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-01T15:01:10Z",
    "title_canon_sha256": "6f1b12d2a99be25fd7fbb8c0f9561f8d6e2bb3f864a1dedfb76e903002b43d11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0433",
    "kind": "arxiv",
    "version": 1
  }
}