Pith Number

pith:7UXFKCJW

pith:2010:7UXFKCJWR5634WKJW43DMVLOXS

not attested not anchored not stored refs pending

The automorphism group of the group of unitriangular matrices over a field

Ayan Mahalanobis

arxiv:1012.5534 v1 · 2010-12-26 · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UXFKCJWR5634WKJW43DMVLOXS}

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	2026-05-18T04:32:23.128404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd2e5509368f7dbe5949b73636556ebca62d129df5ea6c4d2aadccc95d65ac27

Aliases

arxiv: 1012.5534 · arxiv_version: 1012.5534v1 · doi: 10.48550/arxiv.1012.5534 · pith_short_12: 7UXFKCJWR563 · pith_short_16: 7UXFKCJWR5634WKJ · pith_short_8: 7UXFKCJW

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/7UXFKCJWR5634WKJW43DMVLOXS \
  | 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: fd2e5509368f7dbe5949b73636556ebca62d129df5ea6c4d2aadccc95d65ac27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f2deb3171666dbb83bbb6a4157bb3ebc2ff354a2379d666b255703b319bb738",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-12-26T18:25:19Z",
    "title_canon_sha256": "e72384b62c62ded779001668d36c5512071d5b8a446e8a07ce8210a74258d154"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5534",
    "kind": "arxiv",
    "version": 1
  }
}