Pith Number

pith:PREIWC76

pith:2012:PREIWC76SSIUDIRR62BIP2JSR7

not attested not anchored not stored refs pending

Moufang sets arising from polarities of Moufang planes over octonion division algebras

Elizabeth Callens, Tom De Medts

arxiv:1207.1015 v1 · 2012-07-04 · 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{PREIWC76SSIUDIRR62BIP2JSR7}

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	2026-05-18T03:51:47.764193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c488b0bfe949141a231f68287e9328ffc5acfe8f434af5a7807abd3bdfa4bb4

Aliases

arxiv: 1207.1015 · arxiv_version: 1207.1015v1 · doi: 10.48550/arxiv.1207.1015 · pith_short_12: PREIWC76SSIU · pith_short_16: PREIWC76SSIUDIRR · pith_short_8: PREIWC76

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/PREIWC76SSIUDIRR62BIP2JSR7 \
  | 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: 7c488b0bfe949141a231f68287e9328ffc5acfe8f434af5a7807abd3bdfa4bb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a4f92518241b25544c0a186c63932a02014a82871c1f6fd3e5a00aa42fa8bd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-07-04T15:06:33Z",
    "title_canon_sha256": "593ecb861d2eb60e6897ee54016beea7d0fb6f88bded1562886895e1f9cadb32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1015",
    "kind": "arxiv",
    "version": 1
  }
}