Pith Number

pith:ARDXWNAX

pith:2011:ARDXWNAXID4VJQ67QYDDWAOV7J

not attested not anchored not stored refs pending

On a construction of A. Lucchini

Colin D. Reid

arxiv:1106.4423 v1 · 2011-06-22 · 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{ARDXWNAXID4VJQ67QYDDWAOV7J}

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	2026-05-18T04:19:32.994629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04477b341740f954c3df86063b01d5fa48b418b763b5f16a9f25ca9e3b8bd0b9

Aliases

arxiv: 1106.4423 · arxiv_version: 1106.4423v1 · doi: 10.48550/arxiv.1106.4423 · pith_short_12: ARDXWNAXID4V · pith_short_16: ARDXWNAXID4VJQ67 · pith_short_8: ARDXWNAX

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/ARDXWNAXID4VJQ67QYDDWAOV7J \
  | 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: 04477b341740f954c3df86063b01d5fa48b418b763b5f16a9f25ca9e3b8bd0b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "124f69097b20388b55b4c010b6029f3582eb5bc9859c317a486fd1d504cf9682",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-06-22T11:45:40Z",
    "title_canon_sha256": "ff526e5672ac4c2d49f9ba08c9d3e0375c0b9531df6e6abea07775caff5a6ff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4423",
    "kind": "arxiv",
    "version": 1
  }
}