Pith Number

pith:IMSXK64D

pith:2025:IMSXK64DD3YWDWMSLJA2VSUR3D

not attested not anchored not stored refs pending

The Pythagoras number of fields of transcendence degree $1$ over $\mathbb{Q}$

Olivier Benoist

arxiv:2506.21380 v2 · 2025-06-26 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMSXK64DD3YWDWMSLJA2VSUR3D}

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.

Cited by

1 paper in Pith

Sums of squares on curves and surfaces

Receipt and verification

First computed	2026-07-05T11:32:32.350620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4325757b831ef161d9925a41aaca91d8c57c01e2fb1697da7a54eb8c367e3de7

Aliases

arxiv: 2506.21380 · arxiv_version: 2506.21380v2 · doi: 10.48550/arxiv.2506.21380 · pith_short_12: IMSXK64DD3YW · pith_short_16: IMSXK64DD3YWDWMS · pith_short_8: IMSXK64D

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/IMSXK64DD3YWDWMSLJA2VSUR3D \
  | 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: 4325757b831ef161d9925a41aaca91d8c57c01e2fb1697da7a54eb8c367e3de7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b764d4f03ce8d9e16ffa17470c9f2a8c3a916ad42ff9cd3d41d1882856a0f833",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-26T15:30:46Z",
    "title_canon_sha256": "6ac5b18b80061bc81a6e64f458a4e4104aac2a28c2fd052c0a3674ab04cd384e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21380",
    "kind": "arxiv",
    "version": 2
  }
}