Pith Number

pith:IFD6CWAB

pith:2026:IFD6CWABIECQU2MFF2SMJFOQD2

not attested not anchored not stored refs pending

Phase space quantization of anisotropic cosmologies: Taub and Kantowski-Sachs models

Alberto Molgado, Jasel Berra-Montiel, Jorge Santacruz

arxiv:2606.31049 v1 · 2026-06-30 · gr-qc · math-ph · math.MP · 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{IFD6CWABIECQU2MFF2SMJFOQD2}

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	2026-07-01T01:17:27.548962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4147e1580141050a69852ea4c495d01e9e1aa7d77cf5ec94ae4b55430036919b

Aliases

arxiv: 2606.31049 · arxiv_version: 2606.31049v1 · doi: 10.48550/arxiv.2606.31049 · pith_short_12: IFD6CWABIECQ · pith_short_16: IFD6CWABIECQU2MF · pith_short_8: IFD6CWAB

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/IFD6CWABIECQU2MFF2SMJFOQD2 \
  | 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: 4147e1580141050a69852ea4c495d01e9e1aa7d77cf5ec94ae4b55430036919b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "897ccd9cc683cdf73e363c0a935bb664d16b8ce85dffeb87dd0fd0d74a184fb5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-30T02:36:01Z",
    "title_canon_sha256": "c7a8b7bf8b8368ddc9635865521e1db85a4aaa6de85b25fd24d9e3eabb242b64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31049",
    "kind": "arxiv",
    "version": 1
  }
}