Pith Number

pith:XZJH6AXZ

pith:2015:XZJH6AXZIY2RTZBAQRURVKG7TY

not attested not anchored not stored refs pending

On the spectral radius of nonregular uniform hypergraphs

Changjiang Bu, Jiang Zhou, Lizhu Sun

arxiv:1511.09016 v1 · 2015-11-29 · 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{XZJH6AXZIY2RTZBAQRURVKG7TY}

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	2026-05-18T01:25:45.848197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be527f02f9463519e42084691aa8df9e31cac12d7c148e35c8bd37f521827bc0

Aliases

arxiv: 1511.09016 · arxiv_version: 1511.09016v1 · doi: 10.48550/arxiv.1511.09016 · pith_short_12: XZJH6AXZIY2R · pith_short_16: XZJH6AXZIY2RTZBA · pith_short_8: XZJH6AXZ

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/XZJH6AXZIY2RTZBAQRURVKG7TY \
  | 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: be527f02f9463519e42084691aa8df9e31cac12d7c148e35c8bd37f521827bc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b80d721c281221f27f730f7d356154f87322369b8d14f7d2ed4d3d0cc0878de0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-29T14:32:09Z",
    "title_canon_sha256": "f1dc0adffc54929d9ced07cf26adec5b9c0d49af2010cdaa4c9a7d00dfab1b58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09016",
    "kind": "arxiv",
    "version": 1
  }
}