Pith Number

pith:URKEARVZ

pith:2026:URKEARVZNYSEWTNA6M5D7LKLGS

not attested not anchored not stored refs pending

On Full Brouwer's Laplacian Conjecture

Dongxiu Cai, Jia Yang, Xiao-Dong Zhang, Zhengbo Chen

arxiv:2607.03388 v1 · 2026-07-03 · math.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{URKEARVZNYSEWTNA6M5D7LKLGS}

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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.

Cited by

1 paper in Pith

Proofs of two conjectures on generalizations of Brouwer's Laplacian conjecture

Receipt and verification

First computed	2026-07-07T02:17:40.857938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4544046b96e244b4da0f33a3fad4b348d0e454ef5efcb4606fee9fd597ea380

Aliases

arxiv: 2607.03388 · arxiv_version: 2607.03388v1 · doi: 10.48550/arxiv.2607.03388 · pith_short_12: URKEARVZNYSE · pith_short_16: URKEARVZNYSEWTNA · pith_short_8: URKEARVZ

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/URKEARVZNYSEWTNA6M5D7LKLGS \
  | 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: a4544046b96e244b4da0f33a3fad4b348d0e454ef5efcb4606fee9fd597ea380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f178de6c1558fe07dfd5d0f02054c49115e9fa9c251fb7371355cb975b8d1e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-03T14:43:32Z",
    "title_canon_sha256": "d7d1244352e572bdcf7b3778beaa1a1831d6b0f3869c5100b94d274e466d87b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03388",
    "kind": "arxiv",
    "version": 1
  }
}