Pith Number

pith:K4RXFTAK

pith:2017:K4RXFTAKFNZ3QGENGAL6P6ZXFL

not attested not anchored not stored refs pending

Spectral rigidity for spherically symmetric manifolds with boundary

Joonas Ilmavirta, Maarten V. de Hoop, Vitaly Katsnelson

arxiv:1705.10434 v1 · 2017-05-30 · math.DG · 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{K4RXFTAKFNZ3QGENGAL6P6ZXFL}

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	2026-05-18T00:43:24.614432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572372cc0a2b73b8188d3017e7fb372afe69268673e8794280f1dfe0d8dcc122

Aliases

arxiv: 1705.10434 · arxiv_version: 1705.10434v1 · doi: 10.48550/arxiv.1705.10434 · pith_short_12: K4RXFTAKFNZ3 · pith_short_16: K4RXFTAKFNZ3QGEN · pith_short_8: K4RXFTAK

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/K4RXFTAKFNZ3QGENGAL6P6ZXFL \
  | 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: 572372cc0a2b73b8188d3017e7fb372afe69268673e8794280f1dfe0d8dcc122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a26e3f833324b650c7c0e636c34112259eea29d66b134da6501866802b88993",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-05-30T02:26:35Z",
    "title_canon_sha256": "8d2889ba71a06c4bfad6887c30b5a7e0abf4493ba4b2a087549c0831727965de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10434",
    "kind": "arxiv",
    "version": 1
  }
}