Pith Number

pith:PTZMGWRJ

pith:2009:PTZMGWRJMA2I3M3PHFEK7WYSWP

not attested not anchored not stored refs pending

Distances between quantum states in the tomographic-probability representation

S.N. Filippov, V.I. Man'ko

arxiv:0911.1414 v1 · 2009-11-07 · 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{PTZMGWRJMA2I3M3PHFEK7WYSWP}

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	2026-05-18T04:39:39.066771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cf2c35a2960348db36f3948afdb12b3ead2fc0ee74de3ce11b6d37cd0babbd0

Aliases

arxiv: 0911.1414 · arxiv_version: 0911.1414v1 · doi: 10.48550/arxiv.0911.1414 · pith_short_12: PTZMGWRJMA2I · pith_short_16: PTZMGWRJMA2I3M3P · pith_short_8: PTZMGWRJ

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/PTZMGWRJMA2I3M3PHFEK7WYSWP \
  | 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: 7cf2c35a2960348db36f3948afdb12b3ead2fc0ee74de3ce11b6d37cd0babbd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "316b328d28e168622ac1747d16ae223157191d3ace753773b10ea205247e20d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-11-07T13:09:27Z",
    "title_canon_sha256": "b33746289132d95b462f8e018e2dfe078b6f4b3a3257fb5998a9068f38ce8613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1414",
    "kind": "arxiv",
    "version": 1
  }
}