Pith Number

pith:3WSGX3BI

pith:2024:3WSGX3BIGVZZGRRDFGKX2JM2J7

not attested not anchored not stored refs pending

On several irrationality problems for Ahmes series

Terence Tao, Vjekoslav Kova\v{c}

arxiv:2406.17593 v4 · 2024-06-25 · math.NT · 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{3WSGX3BIGVZZGRRDFGKX2JM2J7}

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	2026-07-05T11:36:20.874061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dda46bec28357393462329957d259a4fda766c794b9b987b953bafba4b642ed9

Aliases

arxiv: 2406.17593 · arxiv_version: 2406.17593v4 · doi: 10.48550/arxiv.2406.17593 · pith_short_12: 3WSGX3BIGVZZ · pith_short_16: 3WSGX3BIGVZZGRRD · pith_short_8: 3WSGX3BI

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/3WSGX3BIGVZZGRRDFGKX2JM2J7 \
  | 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: dda46bec28357393462329957d259a4fda766c794b9b987b953bafba4b642ed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17f8d452281c395958ea615bb28ae5a76d29a82efdfd33e8d8ac624d4cb7b39d",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-06-25T14:34:22Z",
    "title_canon_sha256": "ca758ed8a3d4cf0dbe82a4f92b3777a2b19a686360defc10512b794ab8146cb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.17593",
    "kind": "arxiv",
    "version": 4
  }
}