Pith Number

pith:TYOAVPNE

pith:2026:TYOAVPNE6M5AVWNNQOI7OWU5HR

not attested not anchored not stored refs pending

An interpretable closed form for entanglement entropy from bitstrings, guided by a graph neural network

Anas Saleh

arxiv:2606.22713 v1 · 2026-06-21 · quant-ph · physics.comp-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{TYOAVPNE6M5AVWNNQOI7OWU5HR}

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	2026-06-23T02:13:45.460235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e1c0abda4f33a0ad9ad8391f75a9d3c468381cf7d0499bbaa614c015aeb8129

Aliases

arxiv: 2606.22713 · arxiv_version: 2606.22713v1 · doi: 10.48550/arxiv.2606.22713 · pith_short_12: TYOAVPNE6M5A · pith_short_16: TYOAVPNE6M5AVWNN · pith_short_8: TYOAVPNE

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/TYOAVPNE6M5AVWNNQOI7OWU5HR \
  | 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: 9e1c0abda4f33a0ad9ad8391f75a9d3c468381cf7d0499bbaa614c015aeb8129

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3a48536c774d4cf203223f6329b200b1e5f65a57a7e6010d5fcd1da000a0f68",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-21T23:19:53Z",
    "title_canon_sha256": "da92ab541d7ea8f7eecae912f86c5bed5179487a90f7b54180cf399de47159ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22713",
    "kind": "arxiv",
    "version": 1
  }
}