Pith Number

pith:M5RPLYVC

pith:2009:M5RPLYVCLWDPA34MZGYDTXCM76

not attested not anchored not stored refs pending

Matrix Pencils and Entanglement Classification

Carl A. Miller, Eric Chitambar, Yaoyun Shi

arxiv:0911.1803 v1 · 2009-11-09 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M5RPLYVCLWDPA34MZGYDTXCM76}

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	2026-05-18T04:41:44.040368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6762f5e2a25d86f06f8cc9b039dc4cff897c924f2d5e99d6fbb65d6e34de981b

Aliases

arxiv: 0911.1803 · arxiv_version: 0911.1803v1 · doi: 10.48550/arxiv.0911.1803 · pith_short_12: M5RPLYVCLWDP · pith_short_16: M5RPLYVCLWDPA34M · pith_short_8: M5RPLYVC

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/M5RPLYVCLWDPA34MZGYDTXCM76 \
  | 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: 6762f5e2a25d86f06f8cc9b039dc4cff897c924f2d5e99d6fbb65d6e34de981b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2aeddf1128ee016bccfd2d84f26a363fda0c91ce81bf47234693a8e8cf3c9b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-11-09T23:03:50Z",
    "title_canon_sha256": "2f52b371f86f2ab77978b87f02c964fe9791356eabfcf102eb8d2d4b6c84ac79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1803",
    "kind": "arxiv",
    "version": 1
  }
}