Pith Number

pith:AYSCTTAJ

pith:2007:AYSCTTAJAS3VMQEABK6UGHKPMN

not attested not anchored not stored refs pending

Projective bases of division algebras and groups of central type II

Michael Natapov

arxiv:0710.5468 v1 · 2007-10-29 · math.RA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYSCTTAJAS3VMQEABK6UGHKPMN}

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	2026-05-18T04:20:59.583522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

062429cc0904b75640800abd431d4f636cc597a59f35540bd004a23791fe954a

Aliases

arxiv: 0710.5468 · arxiv_version: 0710.5468v1 · doi: 10.48550/arxiv.0710.5468 · pith_short_12: AYSCTTAJAS3V · pith_short_16: AYSCTTAJAS3VMQEA · pith_short_8: AYSCTTAJ

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/AYSCTTAJAS3VMQEABK6UGHKPMN \
  | 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: 062429cc0904b75640800abd431d4f636cc597a59f35540bd004a23791fe954a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cf36ea47e2f16c39b138e467dc9ce4d0b6eac4683448875625ff9919bebb4b5",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2007-10-29T16:10:46Z",
    "title_canon_sha256": "d668af36c40aff8f23a5c82d1523ba889e66c5d49a19165dd9ed92490ab0a26c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5468",
    "kind": "arxiv",
    "version": 1
  }
}