Pith Number

pith:C2BJB2DJ

pith:2013:C2BJB2DJRMEOPYS55WA7RZBMRX

not attested not anchored not stored refs pending

On the Dimension of Matrix Representations of Finitely Generated Torsion Free Nilpotent Groups

Delaram Kahrobaei, Maggie Habeeb

arxiv:1309.4514 v1 · 2013-09-18 · math.GR · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C2BJB2DJRMEOPYS55WA7RZBMRX}

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	2026-05-18T03:12:59.224729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

168290e8698b08e7e25ded81f8e42c8df25c3a7eb69842cc2bb7065cf057642b

Aliases

arxiv: 1309.4514 · arxiv_version: 1309.4514v1 · doi: 10.48550/arxiv.1309.4514 · pith_short_12: C2BJB2DJRMEO · pith_short_16: C2BJB2DJRMEOPYS5 · pith_short_8: C2BJB2DJ

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/C2BJB2DJRMEOPYS55WA7RZBMRX \
  | 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: 168290e8698b08e7e25ded81f8e42c8df25c3a7eb69842cc2bb7065cf057642b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fd252cbee2b9122de527f797146eef0142c5d7abaff230527466b544c04fbbd",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-18T01:30:17Z",
    "title_canon_sha256": "9cea7c3056c9790aac0813931fa9912a747f9354a6eee927f723566945f5b477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4514",
    "kind": "arxiv",
    "version": 1
  }
}