Pith Number

pith:XL7GIW6L

pith:1998:XL7GIW6LERA4SMP4JH3I4ASHEM

not attested not anchored not stored refs pending

The Scalar Curvature of the Bures Metric on the Space of Density Matrices

J. Dittmann

arxiv:quant-ph/9810012 v1 · 1998-10-05 · quant-ph · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XL7GIW6LERA4SMP4JH3I4ASHEM}

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	2026-05-18T01:05:00.417996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bafe645bcb2441c931fc49f68e0247231006dea96803c62ae55d52b81822376c

Aliases

arxiv: quant-ph/9810012 · arxiv_version: quant-ph/9810012v1 · doi: 10.48550/arxiv.quant-ph/9810012 · pith_short_12: XL7GIW6LERA4 · pith_short_16: XL7GIW6LERA4SMP4 · pith_short_8: XL7GIW6L

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/XL7GIW6LERA4SMP4JH3I4ASHEM \
  | 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: bafe645bcb2441c931fc49f68e0247231006dea96803c62ae55d52b81822376c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb9a70539bce85ba55f34ae461c858cb3c76c8c2022ed6020621bb3d841fe8b3",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1998-10-05T13:20:05Z",
    "title_canon_sha256": "b4dbcb59b44dd547a82d4a2a64b6d68e760f6106e8add0abf6407308a131f189"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9810012",
    "kind": "arxiv",
    "version": 1
  }
}