Pith Number

pith:QZSVIK2A

pith:2016:QZSVIK2ASG2FH2RUKLHGHYXCVM

not attested not anchored not stored refs pending

Completeness of infinite-dimensional Lie groups in their left uniformity

Helge Glockner

arxiv:1610.00428 v4 · 2016-10-03 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZSVIK2ASG2FH2RUKLHGHYXCVM}

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	2026-05-18T00:32:31.292716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8665542b4091b453ea3452ce63e2e2ab0031435bf3f4c0d03a7d6dfc05badb4d

Aliases

arxiv: 1610.00428 · arxiv_version: 1610.00428v4 · doi: 10.48550/arxiv.1610.00428 · pith_short_12: QZSVIK2ASG2F · pith_short_16: QZSVIK2ASG2FH2RU · pith_short_8: QZSVIK2A

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/QZSVIK2ASG2FH2RUKLHGHYXCVM \
  | 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: 8665542b4091b453ea3452ce63e2e2ab0031435bf3f4c0d03a7d6dfc05badb4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89790fae96d95e4d47733a861095ca908794897cbc042722962984ca67a88b7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-10-03T07:06:06Z",
    "title_canon_sha256": "78a3a059839cb532b0209b648713b622428b7c7831f52faa0f973114ed9b7374"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00428",
    "kind": "arxiv",
    "version": 4
  }
}