Pith Number

pith:YT5O7UYR

pith:2026:YT5O7UYR3D6LZMF3RMGX43NS7N

not attested not anchored not stored refs pending

The Usual Square Function on Weakly Flat Sets

Benjamin Jaye, Tobias Wang

arxiv:2606.24461 v1 · 2026-06-23 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YT5O7UYR3D6LZMF3RMGX43NS7N}

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	2026-06-24T01:15:31.034843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4faefd311d8fcbcb0bb8b0d7e6db2fb59481ee9326c31b0620247b5a996d957

Aliases

arxiv: 2606.24461 · arxiv_version: 2606.24461v1 · doi: 10.48550/arxiv.2606.24461 · pith_short_12: YT5O7UYR3D6L · pith_short_16: YT5O7UYR3D6LZMF3 · pith_short_8: YT5O7UYR

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/YT5O7UYR3D6LZMF3RMGX43NS7N \
  | 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: c4faefd311d8fcbcb0bb8b0d7e6db2fb59481ee9326c31b0620247b5a996d957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5935091640200b79b2cd456666a2cab19af80eb5565d3898325f0d9a11778850",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-23T11:55:15Z",
    "title_canon_sha256": "c6562bf3e3b86ad7e41215f071f650ec9432b74b39598e013cd8fb2ec6594001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24461",
    "kind": "arxiv",
    "version": 1
  }
}