Pith Number

pith:GFCUTVUN

pith:2016:GFCUTVUNS5X3RCGEWK7DKZRZBT

not attested not anchored not stored refs pending

On the principal eigenvectors of uniform hypergraphs

Lele Liu, Liying Kang, Xiying Yuan

arxiv:1605.09281 v3 · 2016-05-30 · 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{GFCUTVUNS5X3RCGEWK7DKZRZBT}

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	2026-05-18T00:52:50.175338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

314549d68d976fb888c4b2be3566390cebb769b6b71cb6fb26718a433734ee38

Aliases

arxiv: 1605.09281 · arxiv_version: 1605.09281v3 · doi: 10.48550/arxiv.1605.09281 · pith_short_12: GFCUTVUNS5X3 · pith_short_16: GFCUTVUNS5X3RCGE · pith_short_8: GFCUTVUN

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/GFCUTVUNS5X3RCGEWK7DKZRZBT \
  | 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: 314549d68d976fb888c4b2be3566390cebb769b6b71cb6fb26718a433734ee38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3bb280e7fd697e381197428a07c324074f6f447c47c75015d712a9433a6516e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-30T15:36:31Z",
    "title_canon_sha256": "c51d1dea564619858c8dfdb3d4d03a48c19d59ea097b74ebc2c79a2e6797285c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09281",
    "kind": "arxiv",
    "version": 3
  }
}