Pith Number

pith:TQPODQO2

pith:2026:TQPODQO2ZQEJD6A7SOEQVHDTQS

not attested not anchored not stored refs pending

Rectangles, triangles and Schr\"{o}dinger waves

Itamar Oliveira, Jonathan Bennett, Shohei Nakamura, Vjekoslav Kova\v{c}

arxiv:2606.30178 v1 · 2026-06-29 · math.CA · 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{TQPODQO2ZQEJD6A7SOEQVHDTQS}

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	2026-06-30T02:17:52.688635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c1ee1c1dacc0891f81f93890a9c738491ff0a21f443004105d69d914d5513ce

Aliases

arxiv: 2606.30178 · arxiv_version: 2606.30178v1 · doi: 10.48550/arxiv.2606.30178 · pith_short_12: TQPODQO2ZQEJ · pith_short_16: TQPODQO2ZQEJD6A7 · pith_short_8: TQPODQO2

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/TQPODQO2ZQEJD6A7SOEQVHDTQS \
  | 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: 9c1ee1c1dacc0891f81f93890a9c738491ff0a21f443004105d69d914d5513ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73ee6eff592128b1fc515923250461c5a60ecf8487d3fdada5403a28bb9a70b6",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-29T11:54:26Z",
    "title_canon_sha256": "fe39be2353edda0cd012ab7213f7af63b780eda9bc33e95b605e0be2f06a466a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30178",
    "kind": "arxiv",
    "version": 1
  }
}