Pith Number

pith:P3TLRTBC

pith:2013:P3TLRTBCGTHQKLAA7HZMKUSJBS

not attested not anchored not stored refs pending

Schur multipliers of unitriangular groups

Urban Jezernik

arxiv:1305.4055 v1 · 2013-05-17 · 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{P3TLRTBCGTHQKLAA7HZMKUSJBS}

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	2026-05-18T03:25:26.431481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ee6b8cc2234cf052c00f9f2c552490ca22c5898d8b93c46832722afa93313f8

Aliases

arxiv: 1305.4055 · arxiv_version: 1305.4055v1 · doi: 10.48550/arxiv.1305.4055 · pith_short_12: P3TLRTBCGTHQ · pith_short_16: P3TLRTBCGTHQKLAA · pith_short_8: P3TLRTBC

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/P3TLRTBCGTHQKLAA7HZMKUSJBS \
  | 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: 7ee6b8cc2234cf052c00f9f2c552490ca22c5898d8b93c46832722afa93313f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeff258412847318efa895d04f7a245cbfdaa7117339f7fc02894bd61cae3b5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-05-17T12:04:48Z",
    "title_canon_sha256": "a48dde9f9c8cb6b7e54a54f570b56080ce85d6c61646ec8da5648d16a1f1605e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4055",
    "kind": "arxiv",
    "version": 1
  }
}