Pith Number

pith:HTSM7HVX

pith:2008:HTSM7HVXO4SZI3XD4TYXVMCDYY

not attested not anchored not stored refs pending

Structure of wrap groups of quaternion and octonion fiber bundles

S.V. Ludkovsky

arxiv:0804.4286 v1 · 2008-04-27 · math.GR · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTSM7HVXO4SZI3XD4TYXVMCDYY}

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	2026-05-17T23:58:15.607695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ce4cf9eb77725946ee3e4f17ab043c63acd452f0e169d1529818e329e58f2a8

Aliases

arxiv: 0804.4286 · arxiv_version: 0804.4286v1 · doi: 10.48550/arxiv.0804.4286 · pith_short_12: HTSM7HVXO4SZ · pith_short_16: HTSM7HVXO4SZI3XD · pith_short_8: HTSM7HVX

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/HTSM7HVXO4SZI3XD4TYXVMCDYY \
  | 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: 3ce4cf9eb77725946ee3e4f17ab043c63acd452f0e169d1529818e329e58f2a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fc94041427eb319434e437e63cea4c95170cce152c27efc7fbc11baaeeb0f61",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-04-27T16:19:42Z",
    "title_canon_sha256": "e70e9693718986395e685afeaefd608ca75200d3e330dceecc3871cb7f0ad301"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.4286",
    "kind": "arxiv",
    "version": 1
  }
}