Pith Number

pith:Y4MLXOXM

pith:2013:Y4MLXOXMCUMNYPFX4A6OTT4XQY

not attested not anchored not stored refs pending

The Transformation-Groupoid Structure of the q-Gaussian Family

Angel Akio Tateishi, Rudolf Hanel, Stefan Thurner

arxiv:1301.3692 v1 · 2013-01-16 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4MLXOXMCUMNYPFX4A6OTT4XQY}

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	2026-05-18T03:36:17.020743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c718bbbaec1518dc3cb7e03ce9cf978605ed7c1c5d24db6d6f7adc70b354d54d

Aliases

arxiv: 1301.3692 · arxiv_version: 1301.3692v1 · doi: 10.48550/arxiv.1301.3692 · pith_short_12: Y4MLXOXMCUMN · pith_short_16: Y4MLXOXMCUMNYPFX · pith_short_8: Y4MLXOXM

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/Y4MLXOXMCUMNYPFX4A6OTT4XQY \
  | 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: c718bbbaec1518dc3cb7e03ce9cf978605ed7c1c5d24db6d6f7adc70b354d54d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "282a428b212509686bd105ed7b7161d3385cb58325fbe7159c01ed25c4bc8fde",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-16T13:56:57Z",
    "title_canon_sha256": "91650f3c1d5818a36ef29c0bb55bec8bdb171f814be07fc2c024e0fa4f7429eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3692",
    "kind": "arxiv",
    "version": 1
  }
}