Pith Number

pith:2DSSN6PL

pith:2008:2DSSN6PLAVNBW5OM6AXKIAKCT5

not attested not anchored not stored refs pending

Groebner-Shirshov bases for some one-relator groups

Chanyan Zhong, Yuqun Chen

arxiv:0804.0643 v2 · 2008-04-04 · 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{2DSSN6PLAVNBW5OM6AXKIAKCT5}

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	2026-05-18T03:50:37.942934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0e526f9eb055a1b75ccf02ea401429f4f189b593cebba6a78e0bdac7507c36f

Aliases

arxiv: 0804.0643 · arxiv_version: 0804.0643v2 · doi: 10.48550/arxiv.0804.0643 · pith_short_12: 2DSSN6PLAVNB · pith_short_16: 2DSSN6PLAVNBW5OM · pith_short_8: 2DSSN6PL

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/2DSSN6PLAVNBW5OM6AXKIAKCT5 \
  | 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: d0e526f9eb055a1b75ccf02ea401429f4f189b593cebba6a78e0bdac7507c36f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "753d352e17bffe42ce99eb921919fad0f260028ebdcb0ff3fb83d7ecdc0293fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-04-04T02:23:26Z",
    "title_canon_sha256": "2478d4ad3f3d0d62e585fca3eca5fef5f2dd559af6d337dea410147762a2c5f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0643",
    "kind": "arxiv",
    "version": 2
  }
}