Pith Number

pith:ORUOB6M4

pith:2013:ORUOB6M4YZ7VGOAKOIZBRAO22P

not attested not anchored not stored refs pending

Metric properties and distortion in some nilpotent groups of matrices

Eric L\'opez Plat\'on, Jos\'e Burillo

arxiv:1302.0039 v2 · 2013-01-31 · 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{ORUOB6M4YZ7VGOAKOIZBRAO22P}

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	2026-05-18T02:58:57.419213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7468e0f99cc67f53380a72321881dad3e645a505db445d06949ee3675d7ebeb4

Aliases

arxiv: 1302.0039 · arxiv_version: 1302.0039v2 · doi: 10.48550/arxiv.1302.0039 · pith_short_12: ORUOB6M4YZ7V · pith_short_16: ORUOB6M4YZ7VGOAK · pith_short_8: ORUOB6M4

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/ORUOB6M4YZ7VGOAKOIZBRAO22P \
  | 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: 7468e0f99cc67f53380a72321881dad3e645a505db445d06949ee3675d7ebeb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87dbe935d27893613331bd37c7cfd5cf941eb3a722d8c635a36b71bab9a543ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-31T23:52:27Z",
    "title_canon_sha256": "de99367e9245464aa77841eebe6a7bf95b9558c220ded95e176542ac84291793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0039",
    "kind": "arxiv",
    "version": 2
  }
}