Pith Number

pith:XVPFBA54

pith:2012:XVPFBA54FETKEBAPI2XJY35NA2

not attested not anchored not stored refs pending

A Note on Invariantly Finitely $L$-Presented Groups

Ren\'e Hartung

arxiv:1205.0143 v1 · 2012-05-01 · 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{XVPFBA54FETKEBAPI2XJY35NA2}

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	2026-05-18T03:56:35.778013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd5e5083bc2926a2040f46ae9c6fad06b55696717ef0ce5bfa82eb5b9e23a4d1

Aliases

arxiv: 1205.0143 · arxiv_version: 1205.0143v1 · doi: 10.48550/arxiv.1205.0143 · pith_short_12: XVPFBA54FETK · pith_short_16: XVPFBA54FETKEBAP · pith_short_8: XVPFBA54

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/XVPFBA54FETKEBAPI2XJY35NA2 \
  | 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: bd5e5083bc2926a2040f46ae9c6fad06b55696717ef0ce5bfa82eb5b9e23a4d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "707f931c67753ef1d850e59de461526cbc63ff1364efa41909a6fb6100346d78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-05-01T11:49:57Z",
    "title_canon_sha256": "99361f6d59258cc5fc2d47405c2c010daa2c978df63739d49ba349876c823c0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0143",
    "kind": "arxiv",
    "version": 1
  }
}