Pith Number

pith:63TXMVAW

pith:2011:63TXMVAWE2EPC3F447YGJWYW6R

not attested not anchored not stored refs pending

Decompositions of the automorphism group of a locally compact abelian group

Iian B. Smythe

arxiv:1110.1923 v1 · 2011-10-10 · math.GN · math.CT · 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{63TXMVAWE2EPC3F447YGJWYW6R}

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	2026-05-18T04:11:19.306515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6e77654162688f16cbce7f064db16f4711849b3facb47690a9baf1a894f47e6

Aliases

arxiv: 1110.1923 · arxiv_version: 1110.1923v1 · doi: 10.48550/arxiv.1110.1923 · pith_short_12: 63TXMVAWE2EP · pith_short_16: 63TXMVAWE2EPC3F4 · pith_short_8: 63TXMVAW

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/63TXMVAWE2EPC3F447YGJWYW6R \
  | 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: f6e77654162688f16cbce7f064db16f4711849b3facb47690a9baf1a894f47e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d9d51209d7b3696612f00e8224f625d8e6c7394894d2dc4bc0246501e144b2",
    "cross_cats_sorted": [
      "math.CT",
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2011-10-10T04:32:07Z",
    "title_canon_sha256": "6e99feaabb65461e8d2b132ee7787c3444d7ec8f8b24852be203603b6fbc2e68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1923",
    "kind": "arxiv",
    "version": 1
  }
}