Pith Number

pith:52W4MLJS

pith:2026:52W4MLJSG3QLYS4QQHLXOK3P2L

not attested not anchored not stored refs pending

Microcanonical Energy Sharing and a Page-like Curve for the Capacity of Entanglement

Raul Arias

arxiv:2605.19725 v1 · 2026-05-19 · hep-th · gr-qc · quant-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{52W4MLJSG3QLYS4QQHLXOK3P2L}

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	2026-05-20T01:06:11.078058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeadc62d3236e0bc4b9081d7772b6fd2c3958078dbe2dbd9aea2f4927c601f71

Aliases

arxiv: 2605.19725 · arxiv_version: 2605.19725v1 · doi: 10.48550/arxiv.2605.19725 · pith_short_12: 52W4MLJSG3QL · pith_short_16: 52W4MLJSG3QLYS4Q · pith_short_8: 52W4MLJS

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/52W4MLJSG3QLYS4QQHLXOK3P2L \
  | 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: eeadc62d3236e0bc4b9081d7772b6fd2c3958078dbe2dbd9aea2f4927c601f71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3db7f923477df7b0b9a3c430c0e27bdde9fa68bc9425a2ad5cf0a44775d5904",
    "cross_cats_sorted": [
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-19T11:59:21Z",
    "title_canon_sha256": "94a699279a8652be8d63bc12668d884b4292d03543d0c27d37fce2e24b2bd940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19725",
    "kind": "arxiv",
    "version": 1
  }
}