Pith Number

pith:SMINKV5N

pith:2019:SMINKV5NGK6HMBLLT5YZCOSDT6

not attested not anchored not stored refs pending

A Conjectural Brouwer Inequality for Higher-Dimensional Laplacian Spectra

Rediet Abebe

arxiv:1907.07541 v1 · 2019-07-17 · 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{SMINKV5NGK6HMBLLT5YZCOSDT6}

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	2026-05-17T23:40:21.840351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9310d557ad32bc76056b9f71913a439f98e6cb46273f976d26cb1e4f3e05ffea

Aliases

arxiv: 1907.07541 · arxiv_version: 1907.07541v1 · doi: 10.48550/arxiv.1907.07541 · pith_short_12: SMINKV5NGK6H · pith_short_16: SMINKV5NGK6HMBLL · pith_short_8: SMINKV5N

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/SMINKV5NGK6HMBLLT5YZCOSDT6 \
  | 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: 9310d557ad32bc76056b9f71913a439f98e6cb46273f976d26cb1e4f3e05ffea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb8a337739f956c1803ad8261038fdf738a9efba54319e507b12d24605290a9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-17T14:22:33Z",
    "title_canon_sha256": "6488d7d0d8b00095e97878d3cff41d5c10905a1ef103c650118568e9ecb07561"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07541",
    "kind": "arxiv",
    "version": 1
  }
}