Pith Number

pith:WFHV76RD

pith:2010:WFHV76RDDDBMIJMBTZD7G63XIU

not attested not anchored not stored refs pending

Kreck-Stolz invariants for quaternionic line bundles

Diarmuid Crowley, Sebastian Goette

arxiv:1012.5237 v2 · 2010-12-23 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFHV76RDDDBMIJMBTZD7G63XIU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:10:08.958511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b14f5ffa2318c2c425819e47f37b774501d9e073ebe245a833a5a634074cfe04

Aliases

arxiv: 1012.5237 · arxiv_version: 1012.5237v2 · doi: 10.48550/arxiv.1012.5237 · pith_short_12: WFHV76RDDDBM · pith_short_16: WFHV76RDDDBMIJMB · pith_short_8: WFHV76RD

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/WFHV76RDDDBMIJMBTZD7G63XIU \
  | 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: b14f5ffa2318c2c425819e47f37b774501d9e073ebe245a833a5a634074cfe04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfb7a32a3398648bc04460fba0ac63b577ba078e9f109b9b9245abc8b12c8b0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-12-23T15:59:12Z",
    "title_canon_sha256": "54e85be738ebd0bbbdc7bbd86f2da141c0b80b8d42e714382f4502277dcc65d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5237",
    "kind": "arxiv",
    "version": 2
  }
}