pith. sign in
Pith Number

pith:PWYJASZI

pith:2015:PWYJASZIPF53DZJEGCFYJBQLME
not attested not anchored not stored refs pending

Composite bundles in Clifford algebras. Gravitation theory. Part I

A. Yarygin, G. Sardanashvily

arxiv:1512.07581 v1 · 2015-12-23 · math-ph · gr-qc · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PWYJASZIPF53DZJEGCFYJBQLME}

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 2026-05-18T01:20:58.730833Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7db0904b28797bb1e524308b84860b61363b09684cc5700110025ff7b5534cc2

Aliases

arxiv: 1512.07581 · arxiv_version: 1512.07581v1 · doi: 10.48550/arxiv.1512.07581 · pith_short_12: PWYJASZIPF53 · pith_short_16: PWYJASZIPF53DZJE · pith_short_8: PWYJASZI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PWYJASZIPF53DZJEGCFYJBQLME \
  | 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: 7db0904b28797bb1e524308b84860b61363b09684cc5700110025ff7b5534cc2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ae4e2b345d3df1cbfea913dac18d9f3ceaf7a9f86297c639de6f0553948f689f",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-23T18:46:35Z",
    "title_canon_sha256": "3a92097bf6446af59bbdae217fc1a66a4996b8ebb503559dae54dcbee7986426"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07581",
    "kind": "arxiv",
    "version": 1
  }
}