Pith Number

pith:ISK6LOCU

pith:2007:ISK6LOCU3UQI6H2KFS57JVI5YY

not attested not anchored not stored refs pending

The automorphism group of the tetrablock

N. J. Young

arxiv:0708.0689 v1 · 2007-08-05 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISK6LOCU3UQI6H2KFS57JVI5YY}

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	2026-05-18T02:58:12.444968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4495e5b854dd208f1f4a2cbbf4d51dc602a17bc1606cc163e89b12e954528202

Aliases

arxiv: 0708.0689 · arxiv_version: 0708.0689v1 · doi: 10.48550/arxiv.0708.0689 · pith_short_12: ISK6LOCU3UQI · pith_short_16: ISK6LOCU3UQI6H2K · pith_short_8: ISK6LOCU

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/ISK6LOCU3UQI6H2KFS57JVI5YY \
  | 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: 4495e5b854dd208f1f4a2cbbf4d51dc602a17bc1606cc163e89b12e954528202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57453b32a32bf9a393844176b8ade24b4bd7e11458165df88439bd2851dff979",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2007-08-05T21:01:43Z",
    "title_canon_sha256": "3cfd7b4ba5ba9f08c0022d45ac6de4efde18e2f76085d32a4edddc4bd2a9794f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.0689",
    "kind": "arxiv",
    "version": 1
  }
}