Pith Number

pith:LRMKS2L7

pith:2018:LRMKS2L7TRCQIZXKJ7D2F3P56D

not attested not anchored not stored refs pending

Uniform hypergraphs with the first two smallest spectral radii

Haiyan Guo, Jianbin Zhang, Jianping Li

arxiv:1808.08590 v1 · 2018-08-26 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRMKS2L7TRCQIZXKJ7D2F3P56D}

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	2026-05-18T00:07:15.978295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c58a9697f9c450466ea4fc7a2edfdf0f6ed6bc9d61d9ec27a9f7094e15f379d

Aliases

arxiv: 1808.08590 · arxiv_version: 1808.08590v1 · doi: 10.48550/arxiv.1808.08590 · pith_short_12: LRMKS2L7TRCQ · pith_short_16: LRMKS2L7TRCQIZXK · pith_short_8: LRMKS2L7

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/LRMKS2L7TRCQIZXKJ7D2F3P56D \
  | 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: 5c58a9697f9c450466ea4fc7a2edfdf0f6ed6bc9d61d9ec27a9f7094e15f379d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b13f638cb495d39c485c62241f02bb0cbab3088b5c595730c8073b804d71f077",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-08-26T16:46:16Z",
    "title_canon_sha256": "0be9feb4584a454fc051f404b0ba6277ec2dad455da31940ff0d3e107e97b665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08590",
    "kind": "arxiv",
    "version": 1
  }
}