Pith Number

pith:C34VGGKC

pith:1998:C34VGGKCZV6DPZMFWTYT236XGS

not attested not anchored not stored refs pending

Orthogonality and Disjointness in Spaces of Measures

P. Busch

arxiv:math-ph/9804005 v1 · 1998-04-03 · math-ph · math.MP · 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{C34VGGKCZV6DPZMFWTYT236XGS}

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	2026-05-18T04:32:09.947743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16f9531942cd7c37e585b4f13d6fd734b972bc59a95c32c5723abe0c01177a83

Aliases

arxiv: math-ph/9804005 · arxiv_version: math-ph/9804005v1 · doi: 10.48550/arxiv.math-ph/9804005 · pith_short_12: C34VGGKCZV6D · pith_short_16: C34VGGKCZV6DPZMF · pith_short_8: C34VGGKC

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/C34VGGKCZV6DPZMFWTYT236XGS \
  | 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: 16f9531942cd7c37e585b4f13d6fd734b972bc59a95c32c5723abe0c01177a83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e83a9648db8f0516d930d6c30cce9fdd6be209f993873e3f32a8622d663dd7f6",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1998-04-03T15:12:33Z",
    "title_canon_sha256": "b940b7afa0266b94be237d03c4dc24362edf3a15d5376244c9014411d25844a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9804005",
    "kind": "arxiv",
    "version": 1
  }
}