Pith Number

pith:QLVKFOT2

pith:2013:QLVKFOT237QO6KXTQEZPNY2VIR

not attested not anchored not stored refs pending

L2-invisibility and a class of local similarity groups

Roman Sauer, Werner Thumann

arxiv:1304.6843 v2 · 2013-04-25 · math.AT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLVKFOT237QO6KXTQEZPNY2VIR}

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	2026-05-17T23:53:17.597438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82eaa2ba7adfe0ef2af38132f6e35544599f2080ff8a92ba28187f0a62cebd8d

Aliases

arxiv: 1304.6843 · arxiv_version: 1304.6843v2 · doi: 10.48550/arxiv.1304.6843 · pith_short_12: QLVKFOT237QO · pith_short_16: QLVKFOT237QO6KXT · pith_short_8: QLVKFOT2

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/QLVKFOT237QO6KXTQEZPNY2VIR \
  | 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: 82eaa2ba7adfe0ef2af38132f6e35544599f2080ff8a92ba28187f0a62cebd8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51a39f46d36043f745d87f2183a241875e4ea468e4884be8f44c51a87aa3bcb7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-04-25T09:30:12Z",
    "title_canon_sha256": "88ca86f8724b5af3308963bee1d5b25b27b8b9c72259452532b985d26b3dd7cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6843",
    "kind": "arxiv",
    "version": 2
  }
}