Pith Number

pith:XPILLQLD

pith:2024:XPILLQLDTFTDGWND5RTWHFRFGV

not attested not anchored not stored refs pending

Geodesics for mixed quantum states via their geometric mean operator

Carlo Cafaro, Paul M. Alsing, Shannon Ray

arxiv:2404.04136 v1 · 2024-04-05 · quant-ph · math-ph · 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{XPILLQLDTFTDGWND5RTWHFRFGV}

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.

Cited by

1 paper in Pith

A thermofield-double model of Uhlmann anholonomy

Receipt and verification

First computed	2026-07-05T08:04:46.106399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbd0b5c16399663359a3ec6763962535754c72c8bc1d242f771a302523d654fc

Aliases

arxiv: 2404.04136 · arxiv_version: 2404.04136v1 · doi: 10.48550/arxiv.2404.04136 · pith_short_12: XPILLQLDTFTD · pith_short_16: XPILLQLDTFTDGWND · pith_short_8: XPILLQLD

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/XPILLQLDTFTDGWND5RTWHFRFGV \
  | 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: bbd0b5c16399663359a3ec6763962535754c72c8bc1d242f771a302523d654fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3d3224714edd14c1079f59e146756cfe4e860c238df98681fcb5aa79ee31ed7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-04-05T14:36:11Z",
    "title_canon_sha256": "2300f4b66814a8abf0e89ac123aebe77297d2d15636579bdf59b4826ce651ba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.04136",
    "kind": "arxiv",
    "version": 1
  }
}