Pith Number

pith:RZXY7C56

pith:2026:RZXY7C56MWFCTY7QWC4SOYW25E

not attested not anchored not stored refs pending

Two Conjectures on Extensions of Brouwer's Laplacian Conjecture

Jia-Bao Yang, Junying Lu

arxiv:2607.08452 v1 · 2026-07-09 · 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{RZXY7C56MWFCTY7QWC4SOYW25E}

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	2026-07-10T01:19:51.016939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e6f8f8bbe658a29e3f0b0b92762dae915b79bdfcb05e0630a69d94c693b2ed9

Aliases

arxiv: 2607.08452 · arxiv_version: 2607.08452v1 · doi: 10.48550/arxiv.2607.08452 · pith_short_12: RZXY7C56MWFC · pith_short_16: RZXY7C56MWFCTY7Q · pith_short_8: RZXY7C56

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/RZXY7C56MWFCTY7QWC4SOYW25E \
  | 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: 8e6f8f8bbe658a29e3f0b0b92762dae915b79bdfcb05e0630a69d94c693b2ed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ecbfc5882cc1ca833a67da30c9c73701c3a96f0a79a30d68fdd84cd099bc6b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-09T13:15:45Z",
    "title_canon_sha256": "437a349b367f4f0b09f1923455a6ead09321b72208ef9f6c0c803f5ca4adf657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08452",
    "kind": "arxiv",
    "version": 1
  }
}