Pith Number

pith:B6WGUKLJ

pith:2025:B6WGUKLJHVOOMZKHZCASEZOCMU

not attested not anchored not stored refs pending

Partner-mode overlap as a symplectic-invariant measure of correlations in Gaussian quantum field theories

Eduardo Mart\'in-Mart\'inez, Ivan Agullo, Koji Yamaguchi, Sergi Nadal-Gisbert

arxiv:2512.18410 v2 · 2025-12-20 · quant-ph · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6WGUKLJHVOOMZKHZCASEZOCMU}

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	2026-07-24T01:23:03.110439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fac6a29693d5ce66547c8812265c26538c7cc89d99136be20d1bc1aaefa6ce1

Aliases

arxiv: 2512.18410 · arxiv_version: 2512.18410v2 · doi: 10.48550/arxiv.2512.18410 · pith_short_12: B6WGUKLJHVOO · pith_short_16: B6WGUKLJHVOOMZKH · pith_short_8: B6WGUKLJ

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/B6WGUKLJHVOOMZKHZCASEZOCMU \
  | 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: 0fac6a29693d5ce66547c8812265c26538c7cc89d99136be20d1bc1aaefa6ce1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "421180279ed395ab75ff002f539f37dac65466292649bf210d292586cf52cb01",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-12-20T16:18:55Z",
    "title_canon_sha256": "291970b2a210b5b390147d14ab4e854bcf5cf6f23a71a10e69e6335aa806d44d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.18410",
    "kind": "arxiv",
    "version": 2
  }
}