Pith Number

pith:THUU66UI

pith:2016:THUU66UIH5DTSPLMHUXRWVKVVH

not attested not anchored not stored refs pending

Topology and nesting of the zero set components of monochromatic random waves

Peter Sarnak, Yaiza Canzani

arxiv:1701.00034 v1 · 2016-12-30 · 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{THUU66UIH5DTSPLMHUXRWVKVVH}

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	2026-05-18T00:53:39.593235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99e94f7a883f47393d6c3d2f1b5555a9f346dd01b6b66c2f1e4a865f500739f7

Aliases

arxiv: 1701.00034 · arxiv_version: 1701.00034v1 · doi: 10.48550/arxiv.1701.00034 · pith_short_12: THUU66UIH5DT · pith_short_16: THUU66UIH5DTSPLM · pith_short_8: THUU66UI

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/THUU66UIH5DTSPLMHUXRWVKVVH \
  | 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: 99e94f7a883f47393d6c3d2f1b5555a9f346dd01b6b66c2f1e4a865f500739f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adaa0178cfc6de2299dd3f96351811d3a1d49eb94b2d01b192e6190d83a7e725",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-30T23:53:54Z",
    "title_canon_sha256": "81049d9aa2d9e43eb10017477e2ea4ffa3c307bbed153152cf3eeaef97c2ef49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00034",
    "kind": "arxiv",
    "version": 1
  }
}