Pith Number

pith:4BHPR6BG

pith:2017:4BHPR6BGW4VKNQ4SGSXENFDDI6

not attested not anchored not stored refs pending

A localized boundary deformation which splits the spectrum of the Laplacian

Alexander Dabrowski

arxiv:1706.03555 v1 · 2017-06-12 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4BHPR6BGW4VKNQ4SGSXENFDDI6}

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	2026-05-18T00:42:34.337356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e04ef8f826b72aa6c39234ae46946347abac35c227f9a444cd84078457b815c8

Aliases

arxiv: 1706.03555 · arxiv_version: 1706.03555v1 · doi: 10.48550/arxiv.1706.03555 · pith_short_12: 4BHPR6BGW4VK · pith_short_16: 4BHPR6BGW4VKNQ4S · pith_short_8: 4BHPR6BG

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/4BHPR6BGW4VKNQ4SGSXENFDDI6 \
  | 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: e04ef8f826b72aa6c39234ae46946347abac35c227f9a444cd84078457b815c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e63432e63e74576fe2e71ed232de081693a7839bbc518198a7e52318b90b1059",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-12T10:41:11Z",
    "title_canon_sha256": "88f158c4c153ee63a0062988fa72bb9538d7486922f9ab8808ce030c16b3dbdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03555",
    "kind": "arxiv",
    "version": 1
  }
}