Pith Number

pith:UFTKGWBG

pith:2013:UFTKGWBGLITMPPTWE7XSMUYCIR

not attested not anchored not stored refs pending

Rank and deficiency gradients of generalised Thompson groups of type F

Dessislava Kochloukova

arxiv:1311.0637 v1 · 2013-11-04 · 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{UFTKGWBGLITMPPTWE7XSMUYCIR}

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	2026-05-18T00:44:29.359781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a166a358265a26c7be7627ef265302445e3da0695e5a7a9a5a46525abdc4d320

Aliases

arxiv: 1311.0637 · arxiv_version: 1311.0637v1 · doi: 10.48550/arxiv.1311.0637 · pith_short_12: UFTKGWBGLITM · pith_short_16: UFTKGWBGLITMPPTW · pith_short_8: UFTKGWBG

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/UFTKGWBGLITMPPTWE7XSMUYCIR \
  | 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: a166a358265a26c7be7627ef265302445e3da0695e5a7a9a5a46525abdc4d320

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdede3075d87708004848df40437412428020479230f88b3bfa388ba76875d42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-11-04T10:36:09Z",
    "title_canon_sha256": "8e4f2819d94bcffbdcb7f31cc1c20ac85104174bc0470cdf34d58a994c35a0af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0637",
    "kind": "arxiv",
    "version": 1
  }
}