Pith Number

pith:XMZCB4UO

pith:2012:XMZCB4UODDD5UGFFFXV5FOY5Z5

not attested not anchored not stored refs pending

Quaternions and Kudla's matching princple

Tonghai Yang, Tuoping Du

arxiv:1208.0670 v1 · 2012-08-03 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMZCB4UODDD5UGFFFXV5FOY5Z5}

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	2026-05-18T03:49:23.126155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb3220f28e18c7da18a52debd2bb1dcf4632eadc1b03ca466d6252fc922f85a2

Aliases

arxiv: 1208.0670 · arxiv_version: 1208.0670v1 · doi: 10.48550/arxiv.1208.0670 · pith_short_12: XMZCB4UODDD5 · pith_short_16: XMZCB4UODDD5UGFF · pith_short_8: XMZCB4UO

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/XMZCB4UODDD5UGFFFXV5FOY5Z5 \
  | 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: bb3220f28e18c7da18a52debd2bb1dcf4632eadc1b03ca466d6252fc922f85a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bf40faa0105b435c99155bec3774c69f7c982cd21eb8e875b80ff815047488c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-03T07:02:21Z",
    "title_canon_sha256": "644e7eed1ea722bd10a534414f7c3c4168b08fff2fedca01e1d7c3573776e113"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0670",
    "kind": "arxiv",
    "version": 1
  }
}