Pith Number

pith:OO76UZCH

pith:2016:OO76UZCHU6YTXX6SXSGVUE6U7R

not attested not anchored not stored refs pending

Eigenvalue estimates for the Laplacian on a metric tree

Jonathan Rohleder

arxiv:1602.03864 v3 · 2016-02-11 · math.SP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OO76UZCHU6YTXX6SXSGVUE6U7R}

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	2026-05-18T01:10:23.468205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73bfea6447a7b13bdfd2bc8d5a13d4fc79c92b44c35b297712918dc75a95a469

Aliases

arxiv: 1602.03864 · arxiv_version: 1602.03864v3 · doi: 10.48550/arxiv.1602.03864 · pith_short_12: OO76UZCHU6YT · pith_short_16: OO76UZCHU6YTXX6S · pith_short_8: OO76UZCH

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/OO76UZCHU6YTXX6SXSGVUE6U7R \
  | 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: 73bfea6447a7b13bdfd2bc8d5a13d4fc79c92b44c35b297712918dc75a95a469

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45987c03b97232b8bb1b97e99625ffc9b83ef5ecf649611a8e574debf74a07be",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-02-11T20:15:27Z",
    "title_canon_sha256": "80bb2d99c59476c7503f8135e4e80988182a54b5cc622abe8902c8e2039c0a80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03864",
    "kind": "arxiv",
    "version": 3
  }
}