Pith Number

pith:UHEHRHDT

pith:2016:UHEHRHDT4HCQVDLZDQAKG3DOXF

not attested not anchored not stored refs pending

The index of symmetry of three-dimensional Lie groups with a left-invariant metric

Silvio Reggiani

arxiv:1604.04934 v2 · 2016-04-17 · 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{UHEHRHDT4HCQVDLZDQAKG3DOXF}

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	2026-05-18T01:11:17.300487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1c8789c73e1c50a8d791c00a36c6eb951a2e02cbe203fa606a956c4a6461fce

Aliases

arxiv: 1604.04934 · arxiv_version: 1604.04934v2 · doi: 10.48550/arxiv.1604.04934 · pith_short_12: UHEHRHDT4HCQ · pith_short_16: UHEHRHDT4HCQVDLZ · pith_short_8: UHEHRHDT

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/UHEHRHDT4HCQVDLZDQAKG3DOXF \
  | 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: a1c8789c73e1c50a8d791c00a36c6eb951a2e02cbe203fa606a956c4a6461fce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20b845201a9a0b4dd68edcaee861ff4c408e61c5136f395c14ca40a377fdfd20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-17T22:13:05Z",
    "title_canon_sha256": "513e8703421b1429c2b34009c0fa9a9a6be894eed61b71ff7da1bc599ed63706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04934",
    "kind": "arxiv",
    "version": 2
  }
}