Pith Number

pith:M7DY3LAC

pith:2025:M7DY3LACAHIHAJ5PKIXHBMWQHL

not attested not anchored not stored refs pending

Maximal prepositive cones on quaternion algebras with involution

Andrew Leader

arxiv:2506.13426 v3 · 2025-06-16 · 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{M7DY3LACAHIHAJ5PKIXHBMWQHL}

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	2026-05-21T01:05:06.173916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67c78dac0201d07027af522e70b2d03ae9828c5d05f09e6eb296f2f3c58d28a1

Aliases

arxiv: 2506.13426 · arxiv_version: 2506.13426v3 · doi: 10.48550/arxiv.2506.13426 · pith_short_12: M7DY3LACAHIH · pith_short_16: M7DY3LACAHIHAJ5P · pith_short_8: M7DY3LAC

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/M7DY3LACAHIHAJ5PKIXHBMWQHL \
  | 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: 67c78dac0201d07027af522e70b2d03ae9828c5d05f09e6eb296f2f3c58d28a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd5a4643bd3ff361a3f184dabf316bbc9995d0119d0eb803f128b7df3ff0a751",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-06-16T12:43:35Z",
    "title_canon_sha256": "53d72e6704c1bfa3c77e68477b18ecab5c72153d23adf38a8a7e9c286f0d9f0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.13426",
    "kind": "arxiv",
    "version": 3
  }
}