Pith Number

pith:NQCAHDZY

pith:2025:NQCAHDZYJ3HT2AT2DT6XPHOFMN

not attested not anchored not stored refs pending

Some variants of the periodic tiling conjecture

Rachel Greenfeld, Terence Tao

arxiv:2505.06757 v1 · 2025-05-10 · math.CA · math.DS · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQCAHDZYJ3HT2AT2DT6XPHOFMN}

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	2026-07-05T11:01:15.263467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c04038f384ecf3d027a1cfd779dc5637e344cdb736b347f056de40a6b5a66dd

Aliases

arxiv: 2505.06757 · arxiv_version: 2505.06757v1 · doi: 10.48550/arxiv.2505.06757 · pith_short_12: NQCAHDZYJ3HT · pith_short_16: NQCAHDZYJ3HT2AT2 · pith_short_8: NQCAHDZY

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/NQCAHDZYJ3HT2AT2DT6XPHOFMN \
  | 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: 6c04038f384ecf3d027a1cfd779dc5637e344cdb736b347f056de40a6b5a66dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abf8775835a4f47ff231dd7636eb6b88e62cb4db4bf3361712c223a85c477a1b",
    "cross_cats_sorted": [
      "math.DS",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-05-10T21:15:15Z",
    "title_canon_sha256": "2c7dd827de2d3587ef652613d755ab242c0bad9b2516e32ebc0131a19fb9733c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.06757",
    "kind": "arxiv",
    "version": 1
  }
}