Pith Number

pith:3ROPOIH4

pith:2017:3ROPOIH456XZ7WFKDYHGA5YYVY

not attested not anchored not stored refs pending

Spectral asymptotics for eigenvalues and resonances in the presence of a change of boundary conditions

Andr\'e Froehly

arxiv:1710.02068 v1 · 2017-10-05 · 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{3ROPOIH456XZ7WFKDYHGA5YYVY}

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	2026-05-18T00:33:37.644362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc5cf720fcefaf9fd8aa1e0e607718ae2e049d3e2927b4ac0c06ad136fccfdfd

Aliases

arxiv: 1710.02068 · arxiv_version: 1710.02068v1 · doi: 10.48550/arxiv.1710.02068 · pith_short_12: 3ROPOIH456XZ · pith_short_16: 3ROPOIH456XZ7WFK · pith_short_8: 3ROPOIH4

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/3ROPOIH456XZ7WFKDYHGA5YYVY \
  | 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: dc5cf720fcefaf9fd8aa1e0e607718ae2e049d3e2927b4ac0c06ad136fccfdfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5180b5303d03a75877701896fa93f49c4cf6a47248a3b37b0cafb2196f6dcb81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-10-05T15:16:30Z",
    "title_canon_sha256": "69e39706ac4502ecbe936767893686b8ad79a870c5f428869c5c92e665ac895b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02068",
    "kind": "arxiv",
    "version": 1
  }
}