Pith Number

pith:ZWZMQPMU

pith:2014:ZWZMQPMUIABNJNJLIRR2XOGLSL

not attested not anchored not stored refs pending

Almost contact B-metric structures and the Bianchi classification of the three-dimensional Lie algebras

Hristo Manev

arxiv:1412.8142 v1 · 2014-12-28 · 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{ZWZMQPMUIABNJNJLIRR2XOGLSL}

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	2026-05-18T02:30:24.000547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdb2c83d944002d4b52b4463abb8cb92ed46a7fd4f9daad75310a9388bd08cd4

Aliases

arxiv: 1412.8142 · arxiv_version: 1412.8142v1 · doi: 10.48550/arxiv.1412.8142 · pith_short_12: ZWZMQPMUIABN · pith_short_16: ZWZMQPMUIABNJNJL · pith_short_8: ZWZMQPMU

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/ZWZMQPMUIABNJNJLIRR2XOGLSL \
  | 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: cdb2c83d944002d4b52b4463abb8cb92ed46a7fd4f9daad75310a9388bd08cd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b61c4924ce5e40482295aac3d445223e93d14debdde4d5748cc86f4b8c3c3a2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-28T10:23:34Z",
    "title_canon_sha256": "b61e82f260e0b96e6dea6445e4b0567bbc5cbf80683053946862077a6f18678c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8142",
    "kind": "arxiv",
    "version": 1
  }
}