Pith Number

pith:PR37SJYZ

pith:2015:PR37SJYZ5NMODTMZCPY7UOWQMY

not attested not anchored not stored refs pending

On the spectral characterization of pineapple graphs

Hatice Topcu, Sezer Sorgun, Willem H. Haemers

arxiv:1511.08674 v3 · 2015-11-27 · 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{PR37SJYZ5NMODTMZCPY7UOWQMY}

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	2026-05-18T01:12:37.936577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c77f92719eb58e1cd9913f1fa3ad06632554e436b8d9aaf6879bba2e1d55250

Aliases

arxiv: 1511.08674 · arxiv_version: 1511.08674v3 · doi: 10.48550/arxiv.1511.08674 · pith_short_12: PR37SJYZ5NMO · pith_short_16: PR37SJYZ5NMODTMZ · pith_short_8: PR37SJYZ

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/PR37SJYZ5NMODTMZCPY7UOWQMY \
  | 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: 7c77f92719eb58e1cd9913f1fa3ad06632554e436b8d9aaf6879bba2e1d55250

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a7388c4fcc350c2e54c204885c1d57ce259fb66a00b2cb57d0052a4b83e10b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-27T13:57:10Z",
    "title_canon_sha256": "f86a1b18786905aa0278477aab62c45fa9eb060dd69f8bb8112cf67a91f81fd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08674",
    "kind": "arxiv",
    "version": 3
  }
}