Pith Number

pith:I36ZYVDG

pith:2023:I36ZYVDGZZFR7NQK5XZMAOYEVL

not attested not anchored not stored refs pending

Existential closedness of $\overline{\mathbb{Q}}$ as a globally valued field via Arakelov geometry

Micha{\l} Szachniewicz

arxiv:2306.06275 v1 · 2023-06-09 · math.LO · 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{I36ZYVDGZZFR7NQK5XZMAOYEVL}

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	2026-07-05T06:19:22.897634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46fd9c5466ce4b1fb60aedf2c03b04aad725aa66747a691a566a5865eb98ca8f

Aliases

arxiv: 2306.06275 · arxiv_version: 2306.06275v1 · doi: 10.48550/arxiv.2306.06275 · pith_short_12: I36ZYVDGZZFR · pith_short_16: I36ZYVDGZZFR7NQK · pith_short_8: I36ZYVDG

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/I36ZYVDGZZFR7NQK5XZMAOYEVL \
  | 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: 46fd9c5466ce4b1fb60aedf2c03b04aad725aa66747a691a566a5865eb98ca8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e05ab75256a437da6de8d987afdddd40549f0d435028e2502af5ca9e9f2daf5",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2023-06-09T22:01:59Z",
    "title_canon_sha256": "2118f6e0d7a0a531d397dc7df9d14e95b7046a67af635da3d4a12b326fd0872b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.06275",
    "kind": "arxiv",
    "version": 1
  }
}