Pith Number

pith:XOQY3YWA

pith:2015:XOQY3YWAW7KSC4ZUKMIFVNP63C

not attested not anchored not stored refs pending

Surfaces containing two circles through each point and decomposition of quaternionic matrices

A. Pakharev, M. Skopenkov

arxiv:1510.06510 v1 · 2015-10-22 · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOQY3YWAW7KSC4ZUKMIFVNP63C}

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	2026-05-18T00:08:24.218003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bba18de2c0b7d521733453105ab5fed8a51cf8d2250a07c1a0f05993c2d19432

Aliases

arxiv: 1510.06510 · arxiv_version: 1510.06510v1 · doi: 10.48550/arxiv.1510.06510 · pith_short_12: XOQY3YWAW7KS · pith_short_16: XOQY3YWAW7KSC4ZU · pith_short_8: XOQY3YWA

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/XOQY3YWAW7KSC4ZUKMIFVNP63C \
  | 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: bba18de2c0b7d521733453105ab5fed8a51cf8d2250a07c1a0f05993c2d19432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99ef724e6f88fdf39d024583fd5d3c8f54ed6a7f24df1a45933b2236cf520eb3",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-22T07:54:13Z",
    "title_canon_sha256": "1b5ae9702bc42cefd108dd630c77b25fa6989cd694de55131afba1d4fa0725b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06510",
    "kind": "arxiv",
    "version": 1
  }
}