Pith Number

pith:PAF4XOHC

pith:2016:PAF4XOHCEESIKFTKV75JS5D3ZK

not attested not anchored not stored refs pending

Distribution of the nodal sets of eigenfunctions on analytic manifolds

Xiaolong Han

arxiv:1611.09959 v1 · 2016-11-30 · 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{PAF4XOHCEESIKFTKV75JS5D3ZK}

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	2026-05-18T00:56:11.531736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

780bcbb8e2212485166aaffa99747bcaa6397780a908929bf241f49a57f3f9ae

Aliases

arxiv: 1611.09959 · arxiv_version: 1611.09959v1 · doi: 10.48550/arxiv.1611.09959 · pith_short_12: PAF4XOHCEESI · pith_short_16: PAF4XOHCEESIKFTK · pith_short_8: PAF4XOHC

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/PAF4XOHCEESIKFTKV75JS5D3ZK \
  | 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: 780bcbb8e2212485166aaffa99747bcaa6397780a908929bf241f49a57f3f9ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "776bcf1e6bcf2ba3997bad9aa7263920231c8c784beb7d4ac4cc37dfde2e0046",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-30T01:22:31Z",
    "title_canon_sha256": "0ecd7b0af8cd525a2a2758827ba8d7ea63096cc6a843fc38c92477a73b097e59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09959",
    "kind": "arxiv",
    "version": 1
  }
}