Pith Number

pith:TBTA5S5V

pith:2010:TBTA5S5VFDPSC5WPL4XKATKZIY

not attested not anchored not stored refs pending

Bianchi type I cyclic cosmology from Lie-algebraically deformed phase space

Babak Vakili, Nima Khosravi

arxiv:1010.1933 v2 · 2010-10-10 · gr-qc · astro-ph.CO · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBTA5S5VFDPSC5WPL4XKATKZIY}

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	2026-05-18T02:05:07.095276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98660ecbb528df2176cf5f2ea04d59463cac40ba81d20b83c31b0adb3d3a4708

Aliases

arxiv: 1010.1933 · arxiv_version: 1010.1933v2 · doi: 10.48550/arxiv.1010.1933 · pith_short_12: TBTA5S5VFDPS · pith_short_16: TBTA5S5VFDPSC5WP · pith_short_8: TBTA5S5V

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/TBTA5S5VFDPSC5WPL4XKATKZIY \
  | 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: 98660ecbb528df2176cf5f2ea04d59463cac40ba81d20b83c31b0adb3d3a4708

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a9bb90c49b8eeca8206cd05ae034a0434bf92408e073d699cb7d6e729aec241",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-10-10T16:05:20Z",
    "title_canon_sha256": "48468e77dde20d530df5c1dd670e5a07a2cf4d8184c19ef144392d3de73ba2a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1933",
    "kind": "arxiv",
    "version": 2
  }
}