Pith Number

pith:XMTORR4Y

pith:2010:XMTORR4YFRDMGLMDXGYXJBJE4Z

not attested not anchored not stored refs pending

Hurwitz equivalences of positive group generators

Tetsuya Ito

arxiv:1008.1383 v3 · 2010-08-08 · 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{XMTORR4YFRDMGLMDXGYXJBJE4Z}

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	2026-05-18T02:50:10.897286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb26e8c7982c46c32d83b9b1748524e670878a130d9bbf16ffeab34757849850

Aliases

arxiv: 1008.1383 · arxiv_version: 1008.1383v3 · doi: 10.48550/arxiv.1008.1383 · pith_short_12: XMTORR4YFRDM · pith_short_16: XMTORR4YFRDMGLMD · pith_short_8: XMTORR4Y

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/XMTORR4YFRDMGLMDXGYXJBJE4Z \
  | 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: bb26e8c7982c46c32d83b9b1748524e670878a130d9bbf16ffeab34757849850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af457a36ea4bc23a01eca5deb0da1c18c54633e79dec309ceb7c4a5e799f1506",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-08T05:29:55Z",
    "title_canon_sha256": "5616c950e63698eeb1ac72855392b337c0a2f42dbed230eb3006bd1375526507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1383",
    "kind": "arxiv",
    "version": 3
  }
}