Pith Number

pith:NBXDLMXM

pith:2026:NBXDLMXM22T2TYOJK3WJZYR3RY

not attested not anchored not stored refs pending

The multiplicity of the laplacian eigenvalue 1 of a tree

Dein Wong, Songnian Xu, Wenhao Zhen

arxiv:2605.30982 v1 · 2026-05-29 · 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{NBXDLMXM22T2TYOJK3WJZYR3RY}

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	2026-06-01T01:03:28.530562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

686e35b2ecd6a7a9e1c956ec9ce23b8e392bdb2b863c0442fef887dbc7d2a9aa

Aliases

arxiv: 2605.30982 · arxiv_version: 2605.30982v1 · doi: 10.48550/arxiv.2605.30982 · pith_short_12: NBXDLMXM22T2 · pith_short_16: NBXDLMXM22T2TYOJ · pith_short_8: NBXDLMXM

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/NBXDLMXM22T2TYOJK3WJZYR3RY \
  | 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: 686e35b2ecd6a7a9e1c956ec9ce23b8e392bdb2b863c0442fef887dbc7d2a9aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7112e0714c1f46ccb37a1c5d683196fc80a68f3a9cc9eeeb77e367f1173a4e1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-05-29T08:18:32Z",
    "title_canon_sha256": "13c67df27f63a2527c5e20167b7a53e03a4978f1331105330ac8a261de58654b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30982",
    "kind": "arxiv",
    "version": 1
  }
}