Pith Number

pith:UAU73VDX

pith:2026:UAU73VDX6YO5NU56PHOA4HJQIO

not attested not anchored not stored refs pending

Diffeomorphism-Invariant Quantities in Phase Space: More than Correlations

\'Alvaro Mozota Frauca

arxiv:2606.25072 v1 · 2026-06-23 · gr-qc · physics.hist-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{UAU73VDX6YO5NU56PHOA4HJQIO}

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	2026-06-25T00:18:16.968684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a029fdd477f61dd6d3be79dc0e1d30438fa5607637ecf39280efaacb27ba8549

Aliases

arxiv: 2606.25072 · arxiv_version: 2606.25072v1 · doi: 10.48550/arxiv.2606.25072 · pith_short_12: UAU73VDX6YO5 · pith_short_16: UAU73VDX6YO5NU56 · pith_short_8: UAU73VDX

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/UAU73VDX6YO5NU56PHOA4HJQIO \
  | 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: a029fdd477f61dd6d3be79dc0e1d30438fa5607637ecf39280efaacb27ba8549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ea7d9a946983c3a1097a1effc6cd15295e3103834c4d67bda15b18665aae4e",
    "cross_cats_sorted": [
      "physics.hist-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-23T18:30:25Z",
    "title_canon_sha256": "ef0635a885fc41005af9553f00a08d5a5783888eb2fdecdf9e3fa16426f56b6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25072",
    "kind": "arxiv",
    "version": 1
  }
}