Pith Number

pith:VDQYPGBK

pith:2019:VDQYPGBKXJQPDB7JDMB5VWXQLC

not attested not anchored not stored refs pending

Spectral Properties of Laplacians on Snowflake domains and filled Julia sets

Robert S. Strichartz, Samuel C. Wiese

arxiv:1903.08259 v1 · 2019-03-19 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDQYPGBKXJQPDB7JDMB5VWXQLC}

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	2026-05-17T23:50:49.875005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8e187982aba60f187e91b03dadaf05884ec8af0e3e5337931e21e30f5023f99

Aliases

arxiv: 1903.08259 · arxiv_version: 1903.08259v1 · doi: 10.48550/arxiv.1903.08259 · pith_short_12: VDQYPGBKXJQP · pith_short_16: VDQYPGBKXJQPDB7J · pith_short_8: VDQYPGBK

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/VDQYPGBKXJQPDB7JDMB5VWXQLC \
  | 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: a8e187982aba60f187e91b03dadaf05884ec8af0e3e5337931e21e30f5023f99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "752f9ab0890275d91275c92330ef87cbbf52537b2b61faf54d17026488a3c47e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-03-19T21:16:17Z",
    "title_canon_sha256": "162271b8409d8ba4ea5812a66ca6e372518dca8291eab5ee66ef7e4e2f7d281e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08259",
    "kind": "arxiv",
    "version": 1
  }
}