Pith Number

pith:VF6GBLBT

pith:2015:VF6GBLBTAYSNTMQYQV7WZVCO5C

not attested not anchored not stored refs pending

On the number of L-shapes in embedding dimension four

D. Llena, F. Aguil\'o-Gost, P. A. Garc\'ia-S\'anchez

arxiv:1505.01464 v1 · 2015-05-06 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VF6GBLBTAYSNTMQYQV7WZVCO5C}

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	2026-05-18T02:16:49.235249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a97c60ac330624d9b218857f6cd44ee881618822b82390ceaeb05e0e4815996f

Aliases

arxiv: 1505.01464 · arxiv_version: 1505.01464v1 · doi: 10.48550/arxiv.1505.01464 · pith_short_12: VF6GBLBTAYSN · pith_short_16: VF6GBLBTAYSNTMQY · pith_short_8: VF6GBLBT

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/VF6GBLBTAYSNTMQYQV7WZVCO5C \
  | 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: a97c60ac330624d9b218857f6cd44ee881618822b82390ceaeb05e0e4815996f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28d6fbd84557f6b9e0f3b37160e0ebd7f1a1014e2c02b5a6919c9194e0991f65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-06T19:11:05Z",
    "title_canon_sha256": "7c9181dcec804ee6b76a1aaaebd07099b29c7653a70687fdcb138279d388868b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01464",
    "kind": "arxiv",
    "version": 1
  }
}