Pith Number

pith:WO77NH2O

pith:2012:WO77NH2OTHZ3L73ZH66KEJRKWI

not attested not anchored not stored refs pending

Bloch's Theorem in the Context of Quaternion Analysis

J. Morais, K. G\"urlebeck

arxiv:1201.0530 v1 · 2012-01-02 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WO77NH2OTHZ3L73ZH66KEJRKWI}

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	2026-05-18T04:05:17.318822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3bff69f4e99f3b5ff793fbca2262ab20ec159e70434a5275333b9ab1abc4fbd

Aliases

arxiv: 1201.0530 · arxiv_version: 1201.0530v1 · doi: 10.48550/arxiv.1201.0530 · pith_short_12: WO77NH2OTHZ3 · pith_short_16: WO77NH2OTHZ3L73Z · pith_short_8: WO77NH2O

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/WO77NH2OTHZ3L73ZH66KEJRKWI \
  | 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: b3bff69f4e99f3b5ff793fbca2262ab20ec159e70434a5275333b9ab1abc4fbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a6cf874107cb3a8a8df8f40221a2cba855da455d67f5174ecf1b8b16934d667",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-01-02T20:30:00Z",
    "title_canon_sha256": "dc1540e0987d453a0d6e536dab3f1c7768e4bb0ad96fd7016fcda932c00dc436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0530",
    "kind": "arxiv",
    "version": 1
  }
}