Pith Number

pith:B3SOIGLF

pith:2006:B3SOIGLFR2JQGHGXDUG27IJFVN

not attested not anchored not stored refs pending

POVMs and Naimark's theorem without sums

Bob Coecke, Eric Oliver Paquette

arxiv:quant-ph/0608072 v2 · 2006-08-08 · quant-ph · math-ph · math.CT · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3SOIGLFR2JQGHGXDUG27IJFVN}

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	2026-07-04T14:59:05.817409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ee4e419658e93031cd71d0dafa125ab75484d1ebb9c733ddab20f31bd4e2857

Aliases

arxiv: quant-ph/0608072 · arxiv_version: quant-ph/0608072v2 · doi: 10.48550/arxiv.quant-ph/0608072 · pith_short_12: B3SOIGLFR2JQ · pith_short_16: B3SOIGLFR2JQGHGX · pith_short_8: B3SOIGLF

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/B3SOIGLFR2JQGHGXDUG27IJFVN \
  | 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: 0ee4e419658e93031cd71d0dafa125ab75484d1ebb9c733ddab20f31bd4e2857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "675726ac78c53411088274cf27906e1f367c0760b61042054a64b5d24c47db0c",
    "cross_cats_sorted": [
      "math-ph",
      "math.CT",
      "math.MP",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-08-08T18:10:10Z",
    "title_canon_sha256": "d287831f1a763073d6e76a65067432351b990e9779a4ed61bb59614d7a28bc5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0608072",
    "kind": "arxiv",
    "version": 2
  }
}