Pith Number

pith:CVZQ7RDD

pith:2016:CVZQ7RDD37STDXVD2WJUX7OY3L

not attested not anchored not stored refs pending

Spectrum of the Laplacian on the Vicsek Set "with no loose ends"

Robert S. Strichartz, Sophia Zhu

arxiv:1611.02251 v1 · 2016-11-04 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CVZQ7RDD37STDXVD2WJUX7OY3L}

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	2026-05-18T00:28:56.749146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15730fc463dfe531dea3d5934bfdd8dad047bbaeb3ece622c2eefef1bea403e3

Aliases

arxiv: 1611.02251 · arxiv_version: 1611.02251v1 · doi: 10.48550/arxiv.1611.02251 · pith_short_12: CVZQ7RDD37ST · pith_short_16: CVZQ7RDD37STDXVD · pith_short_8: CVZQ7RDD

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/CVZQ7RDD37STDXVD2WJUX7OY3L \
  | 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: 15730fc463dfe531dea3d5934bfdd8dad047bbaeb3ece622c2eefef1bea403e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02ddf5535bb64610d182215673f283752168225ba3040115bddf2d638b541c86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-04T02:56:36Z",
    "title_canon_sha256": "253fc2e16c13bce5cb4a6e25eee377e3e1ad990d353a69a1eb1a3d119eb5471e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02251",
    "kind": "arxiv",
    "version": 1
  }
}