Pith Number

pith:PHJQRZQT

pith:2011:PHJQRZQTN2LUF7MHE6PC3G64SI

not attested not anchored not stored refs pending

Class preserving automorphisms of unitriangular groups

Andrei Vesnin, Manoj K. Yadav, Valeriy Bardakov

arxiv:1109.4710 v2 · 2011-09-22 · 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{PHJQRZQTN2LUF7MHE6PC3G64SI}

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	2026-05-18T03:48:46.548042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79d308e6136e9742fd87279e2d9bdc9220229e6a8e34d355499aa4182e96edc7

Aliases

arxiv: 1109.4710 · arxiv_version: 1109.4710v2 · doi: 10.48550/arxiv.1109.4710 · pith_short_12: PHJQRZQTN2LU · pith_short_16: PHJQRZQTN2LUF7MH · pith_short_8: PHJQRZQT

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/PHJQRZQTN2LUF7MHE6PC3G64SI \
  | 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: 79d308e6136e9742fd87279e2d9bdc9220229e6a8e34d355499aa4182e96edc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "630600d38729ab839fa92364dc9747cf84fd045a637652318dbf2fabad968851",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-09-22T06:28:35Z",
    "title_canon_sha256": "ac1ac63a366f3106ce9e2a477f116336a907e90e0e7cd6b6e8cb6958e055f6f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4710",
    "kind": "arxiv",
    "version": 2
  }
}