Pith Number

pith:5TM63NAN

pith:2013:5TM63NAN6H6TIGB5KWVN62UNUA

not attested not anchored not stored refs pending

Homogeneous Transformation Groups of the Sphere

Fabio Tal, Ferry Kwakkel

arxiv:1309.0179 v3 · 2013-09-01 · math.GT · 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{5TM63NAN6H6TIGB5KWVN62UNUA}

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	2026-05-18T02:27:08.177610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecd9edb40df1fd34183d55aadf6a8da029028a42b37bf41ed04b7c40b8378247

Aliases

arxiv: 1309.0179 · arxiv_version: 1309.0179v3 · doi: 10.48550/arxiv.1309.0179 · pith_short_12: 5TM63NAN6H6T · pith_short_16: 5TM63NAN6H6TIGB5 · pith_short_8: 5TM63NAN

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/5TM63NAN6H6TIGB5KWVN62UNUA \
  | 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: ecd9edb40df1fd34183d55aadf6a8da029028a42b37bf41ed04b7c40b8378247

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4380dc8e7374c07c19d96b3c94d4fd9bae06b9102444ce0cfa787b448aa0b98",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-01T04:30:28Z",
    "title_canon_sha256": "eaf619d30e85091fcf6527d4fc9c83e642ec7cd4abca845402c9e16efad69520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0179",
    "kind": "arxiv",
    "version": 3
  }
}