Pith Number

pith:MZL56QCF

pith:2015:MZL56QCFHZW7NCAXJRTR7GIRMH

not attested not anchored not stored refs pending

Lie groups as 3-dimensional almost contact B-metric manifolds in the main vertical classes

Miroslava Ivanova

arxiv:1504.01094 v1 · 2015-04-05 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZL56QCFHZW7NCAXJRTR7GIRMH}

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	2026-05-18T02:19:35.176642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6657df40453e6df688174c671f991161c279147475e80c29378fc2a2fd42e4fa

Aliases

arxiv: 1504.01094 · arxiv_version: 1504.01094v1 · doi: 10.48550/arxiv.1504.01094 · pith_short_12: MZL56QCFHZW7 · pith_short_16: MZL56QCFHZW7NCAX · pith_short_8: MZL56QCF

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/MZL56QCFHZW7NCAXJRTR7GIRMH \
  | 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: 6657df40453e6df688174c671f991161c279147475e80c29378fc2a2fd42e4fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25ff491a2aa6a33843e1ff8e12e123ae9072840c406dac2b8f411162e781c57b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-05T07:51:01Z",
    "title_canon_sha256": "2dcdd9aed884809e3c21a28b84ab365ad389ef8c5db50327058f8f6acd45ec83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01094",
    "kind": "arxiv",
    "version": 1
  }
}