Pith Number

pith:25NOI7AG

pith:2025:25NOI7AGE7LJ6MAUYZIMKSWNZT

not attested not anchored not stored refs pending

Non-spectrality of some piecewise smooth curves and unions of line segments

Chun-kit Lai, Mihail N. Kolountzakis

arxiv:2507.00581 v1 · 2025-07-01 · math.CA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25NOI7AGE7LJ6MAUYZIMKSWNZT}

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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.

Cited by

1 paper in Pith

Fourier frames on smooth surfaces with nonvanishing Gaussian curvature

Receipt and verification

First computed	2026-07-05T11:30:11.195571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d75ae47c0627d69f3014c650c54acdccd39b808f549f4aa7939e0ae67c0df2fe

Aliases

arxiv: 2507.00581 · arxiv_version: 2507.00581v1 · doi: 10.48550/arxiv.2507.00581 · pith_short_12: 25NOI7AGE7LJ · pith_short_16: 25NOI7AGE7LJ6MAU · pith_short_8: 25NOI7AG

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/25NOI7AGE7LJ6MAUYZIMKSWNZT \
  | 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: d75ae47c0627d69f3014c650c54acdccd39b808f549f4aa7939e0ae67c0df2fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd5a1ff67b3f63fc87f080086c59126ec1b1392aeea6ed1226efb92217d77553",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-07-01T09:03:00Z",
    "title_canon_sha256": "4ec8b9f230cf8b0ac5989655dae5d247f901da1e6b2f16b401c371da0505f204"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00581",
    "kind": "arxiv",
    "version": 1
  }
}