Pith Number

pith:LHPOM34W

pith:2012:LHPOM34WFHXTLNU3XYJXXYZ5OW

not attested not anchored not stored refs pending

The universal character ring of some families of one-relator groups

Anh T. Tran

arxiv:1208.6339 v5 · 2012-08-31 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHPOM34WFHXTLNU3XYJXXYZ5OW}

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	2026-05-18T01:22:26.306778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59dee66f9629ef35b69bbe137be33d759bddf69c4f750d7ecb14059ce0955584

Aliases

arxiv: 1208.6339 · arxiv_version: 1208.6339v5 · doi: 10.48550/arxiv.1208.6339 · pith_short_12: LHPOM34WFHXT · pith_short_16: LHPOM34WFHXTLNU3 · pith_short_8: LHPOM34W

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/LHPOM34WFHXTLNU3XYJXXYZ5OW \
  | 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: 59dee66f9629ef35b69bbe137be33d759bddf69c4f750d7ecb14059ce0955584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c3fb5154f224778cb3319d3cf2cc71be8ae4d3ed291dafde34d01da8921d50f",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-08-31T00:45:12Z",
    "title_canon_sha256": "fc28804411f35064a7e8ec2becf323fde70e04328eedabeba45f85340fd0e9e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6339",
    "kind": "arxiv",
    "version": 5
  }
}