Pith Number

pith:R3KJI4HT

pith:2010:R3KJI4HT2U7K43HHAI5I3FXI7Q

not attested not anchored not stored refs pending

On the spectral theory of trees with finite cone type

Daniel Lenz, Matthias Keller, Simone Warzel

arxiv:1001.3600 v2 · 2010-01-20 · math.SP · math-ph · math.FA · 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{R3KJI4HT2U7K43HHAI5I3FXI7Q}

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	2026-05-18T04:31:51.480838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ed49470f3d53eae6ce7023a8d96e8fc1615fe186c799679b26052e22f55f874

Aliases

arxiv: 1001.3600 · arxiv_version: 1001.3600v2 · doi: 10.48550/arxiv.1001.3600 · pith_short_12: R3KJI4HT2U7K · pith_short_16: R3KJI4HT2U7K43HH · pith_short_8: R3KJI4HT

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/R3KJI4HT2U7K43HHAI5I3FXI7Q \
  | 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: 8ed49470f3d53eae6ce7023a8d96e8fc1615fe186c799679b26052e22f55f874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07e4ff78ea3c12e9b6b4dbc7abb81383661972ff72d033a04307571dfc099ac6",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-01-20T14:39:37Z",
    "title_canon_sha256": "f706776e851498f56fbe61401ce0ee01a623355e4d9438077e011395cb7df1eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3600",
    "kind": "arxiv",
    "version": 2
  }
}