Pith Number

pith:DXPBGKDN

pith:2015:DXPBGKDNH3LODVJAOVTHEPQZNA

not attested not anchored not stored refs pending

$q$-invariance of quantum quaternion spheres

Bipul Saurabh

arxiv:1510.01862 v1 · 2015-10-07 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXPBGKDNH3LODVJAOVTHEPQZNA}

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	2026-05-18T01:30:50.181170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dde13286d3ed6e1d5207566723e19682b2d213f44529f60c7557699f43067f6

Aliases

arxiv: 1510.01862 · arxiv_version: 1510.01862v1 · doi: 10.48550/arxiv.1510.01862 · pith_short_12: DXPBGKDNH3LO · pith_short_16: DXPBGKDNH3LODVJA · pith_short_8: DXPBGKDN

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/DXPBGKDNH3LODVJAOVTHEPQZNA \
  | 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: 1dde13286d3ed6e1d5207566723e19682b2d213f44529f60c7557699f43067f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaa10c99271173a4846b6e2f83bc830ad06e2c9580bf004fb504b6f8dec3a09d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-10-07T08:51:33Z",
    "title_canon_sha256": "e8aa489ce052dc9da7b1da4f22d97d30ac047d72c5a667970303c85b9c8a3103"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01862",
    "kind": "arxiv",
    "version": 1
  }
}