Pith Number

pith:ISRPVGLF

pith:2015:ISRPVGLF64ZY73HMEQPFKV3MBP

not attested not anchored not stored refs pending

Optimal extensions and quotients of 2--Cayley Digraphs

A. Miralles, F. Aguil\'o, M. Zaragoz\'a

arxiv:1505.06010 v1 · 2015-05-22 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISRPVGLF64ZY73HMEQPFKV3MBP}

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	2026-05-18T02:03:49.402369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44a2fa9965f7338fecec241e55576c0befddc53257e49887d82933683cbf677b

Aliases

arxiv: 1505.06010 · arxiv_version: 1505.06010v1 · doi: 10.48550/arxiv.1505.06010 · pith_short_12: ISRPVGLF64ZY · pith_short_16: ISRPVGLF64ZY73HM · pith_short_8: ISRPVGLF

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/ISRPVGLF64ZY73HMEQPFKV3MBP \
  | 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: 44a2fa9965f7338fecec241e55576c0befddc53257e49887d82933683cbf677b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4f0e24b0060c8dd3d31a269c59efc768679ddf170927919e912bd48d18d69dc",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-22T09:55:32Z",
    "title_canon_sha256": "acd24852b83ae3f06d0bed94cc428bb6be15db16231b7bfe5831ac4e5e66164c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06010",
    "kind": "arxiv",
    "version": 1
  }
}