pith. sign in
Pith Number

pith:VKDE6XIA

pith:2013:VKDE6XIA7WYKQ7WN5SOXGUA2J4
not attested not anchored not stored refs pending

Interactions between para-quaternionic and Grassmannian geometry

Vojtech Zadnik

arxiv:1301.5143 v2 · 2013-01-22 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VKDE6XIA7WYKQ7WN5SOXGUA2J4}

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 2026-05-18T00:02:14.101328Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

aa864f5d00fdb0a87ecdec9d73501a4f358558d3b2e15d963fc9b73aff26fb88

Aliases

arxiv: 1301.5143 · arxiv_version: 1301.5143v2 · doi: 10.48550/arxiv.1301.5143 · pith_short_12: VKDE6XIA7WYK · pith_short_16: VKDE6XIA7WYKQ7WN · pith_short_8: VKDE6XIA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VKDE6XIA7WYKQ7WN5SOXGUA2J4 \
  | 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: aa864f5d00fdb0a87ecdec9d73501a4f358558d3b2e15d963fc9b73aff26fb88
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1f38957dfaf870470f2f51a2d485b1986a1abf668fffa83f9ad77e866766386d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-22T11:08:15Z",
    "title_canon_sha256": "1a4aefa4043c9eb824ed9f16f0cc9f217f8f085f443590cd254b1e44782581e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5143",
    "kind": "arxiv",
    "version": 2
  }
}