Pith Number

pith:72KWB2OP

pith:2016:72KWB2OPR356GKLTJFABAER4PF

not attested not anchored not stored refs pending

Tangent Lie groups are Riemannian naturally reductive spaces

Ana Cristina Ferreira, Ilka Agricola

arxiv:1603.06211 v1 · 2016-03-20 · 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{72KWB2OPR356GKLTJFABAER4PF}

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	2026-05-18T01:18:50.026106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9560e9cf8efbe32973494010123c79633669171302be418052470d24915961

Aliases

arxiv: 1603.06211 · arxiv_version: 1603.06211v1 · doi: 10.48550/arxiv.1603.06211 · pith_short_12: 72KWB2OPR356 · pith_short_16: 72KWB2OPR356GKLT · pith_short_8: 72KWB2OP

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/72KWB2OPR356GKLTJFABAER4PF \
  | 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: fe9560e9cf8efbe32973494010123c79633669171302be418052470d24915961

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38a9538cd86fcb22e30a0eb78616cc6f7ac682027a0a0a774cdfec2961bc654f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-03-20T12:34:15Z",
    "title_canon_sha256": "a02490d916016b28b4219323f73655acf2b4ad4099ccb3ae85f15d9ec2f4240e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06211",
    "kind": "arxiv",
    "version": 1
  }
}