Pith Number

pith:5OYAMHDY

pith:2016:5OYAMHDYM6JJCQKNIZML7JHYH6

not attested not anchored not stored refs pending

Loewy lengths of centers of blocks

Benjamin Sambale, Burkhard K\"ulshammer

arxiv:1607.06241 v2 · 2016-07-21 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5OYAMHDYM6JJCQKNIZML7JHYH6}

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	2026-05-18T01:04:43.044630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebb0061c78679291414d4658bfa4f83fb9ddf5acbdd274a24ea84481f4f2eeca

Aliases

arxiv: 1607.06241 · arxiv_version: 1607.06241v2 · doi: 10.48550/arxiv.1607.06241 · pith_short_12: 5OYAMHDYM6JJ · pith_short_16: 5OYAMHDYM6JJCQKN · pith_short_8: 5OYAMHDY

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/5OYAMHDYM6JJCQKNIZML7JHYH6 \
  | 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: ebb0061c78679291414d4658bfa4f83fb9ddf5acbdd274a24ea84481f4f2eeca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a350a22937d348f61cb90673425d107f508f154c035300b9c1e1a81acd30c771",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-07-21T09:20:03Z",
    "title_canon_sha256": "1e654af76dd06a66da6c215ffe9486ee8552f985c4d7db2f6f2517025f28df96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06241",
    "kind": "arxiv",
    "version": 2
  }
}