Pith Number

pith:TUCX436E

pith:2026:TUCX436EPVJ2H76EGTRSCG546K

not attested not anchored not stored refs pending

Integral Hilbert spaces and the dynamics of loop quantum cosmos

(2) University of Wroc{\l}aw, Astronomy, Faculty of Physics, Gda\'nsk University of Technology, Institute for Theoretical Physics), Janek Kozicki (1), Mathematics, Tomasz Paw{\l}owski (2) ((1) Faculty of Applied Physics

arxiv:2608.02798 v1 · 2026-08-03 · gr-qc · cs.NA · math.NA · 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{TUCX436EPVJ2H76EGTRSCG546K}

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	2026-08-05T00:40:05.661872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d057e6fc47d53a3ffc434e3211bbcf2b3f3bae2a00d32ea63a7bfc98eddae28

Aliases

arxiv: 2608.02798 · arxiv_version: 2608.02798v1 · doi: 10.48550/arxiv.2608.02798 · pith_short_12: TUCX436EPVJ2 · pith_short_16: TUCX436EPVJ2H76E · pith_short_8: TUCX436E

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/TUCX436EPVJ2H76EGTRSCG546K \
  | 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: 9d057e6fc47d53a3ffc434e3211bbcf2b3f3bae2a00d32ea63a7bfc98eddae28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ace73c9e9225c836ee6d8a9cb97877bc1f88c4aef8fef0b90aa9eb1a34c72ace",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-08-03T18:49:35Z",
    "title_canon_sha256": "82982480e774fc26331c0c4ad404790c6a4b91fab0683453c64ba85b59c6e67e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02798",
    "kind": "arxiv",
    "version": 1
  }
}