Pith Number

pith:GSK6FS57

pith:2026:GSK6FS57UCANUS2C3YNP5KW4OH

not attested not anchored not stored refs pending

Mutual information and mutual correlation: their spin-free formulations and comparison

Jiri Pittner

arxiv:2605.25793 v1 · 2026-05-25 · physics.chem-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{GSK6FS57UCANUS2C3YNP5KW4OH}

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	2026-05-26T02:05:11.917265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3495e2cbbfa080da4b42de1afeaadc71cbafdd4e63982614617d150ae5c47020

Aliases

arxiv: 2605.25793 · arxiv_version: 2605.25793v1 · doi: 10.48550/arxiv.2605.25793 · pith_short_12: GSK6FS57UCAN · pith_short_16: GSK6FS57UCANUS2C · pith_short_8: GSK6FS57

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/GSK6FS57UCANUS2C3YNP5KW4OH \
  | 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: 3495e2cbbfa080da4b42de1afeaadc71cbafdd4e63982614617d150ae5c47020

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69e66c0dca2fbc6b68e89ec93335fe45dd440e3e0dd0fb4f18fe184c0822b2c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2026-05-25T12:41:03Z",
    "title_canon_sha256": "df48461cd1313789c9a4f69b6a5bd92b7ce92bb3d4e357723ba8965435650320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25793",
    "kind": "arxiv",
    "version": 1
  }
}