Pith Number

pith:SLL3UIKZ

pith:2016:SLL3UIKZE6FRAPT6MUXI46WATZ

not attested not anchored not stored refs pending

On a conjecture involving Laplacian eigenvalues of trees

David P. Jacobs, Vilmar Trevisan

arxiv:1609.04579 v2 · 2016-09-15 · 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{SLL3UIKZE6FRAPT6MUXI46WATZ}

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	2026-05-18T00:31:05.350355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92d7ba2159278b103e7e652e8e7ac09e720163e041326473806ae15f4ddb1b91

Aliases

arxiv: 1609.04579 · arxiv_version: 1609.04579v2 · doi: 10.48550/arxiv.1609.04579 · pith_short_12: SLL3UIKZE6FR · pith_short_16: SLL3UIKZE6FRAPT6 · pith_short_8: SLL3UIKZ

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/SLL3UIKZE6FRAPT6MUXI46WATZ \
  | 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: 92d7ba2159278b103e7e652e8e7ac09e720163e041326473806ae15f4ddb1b91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0de8e49f31515e0290212d11cabfd20e4eca612d148a7b148eaac878e856470d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-15T11:45:37Z",
    "title_canon_sha256": "22c12226fa8cccc6a1395da5d8703531016db152be2c7628c084deabd48b27f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04579",
    "kind": "arxiv",
    "version": 2
  }
}