Pith Number

pith:H2NWN4ZO

pith:2026:H2NWN4ZO2QOZYNUR3HC2R3GHLP

not attested not anchored not stored refs pending

Large imperfect fields are existentially closed in function fields after finite constant extension

Franz-Viktor Kuhlmann, Hagen Knaf

arxiv:2606.01310 v1 · 2026-05-31 · math.AC · 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{H2NWN4ZO2QOZYNUR3HC2R3GHLP}

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	2026-06-02T02:04:29.751084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e9b66f32ed41d9c3691d9c5a8ecc75be966acac55e926d8f6e4937f0bcc563e

Aliases

arxiv: 2606.01310 · arxiv_version: 2606.01310v1 · doi: 10.48550/arxiv.2606.01310 · pith_short_12: H2NWN4ZO2QOZ · pith_short_16: H2NWN4ZO2QOZYNUR · pith_short_8: H2NWN4ZO

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/H2NWN4ZO2QOZYNUR3HC2R3GHLP \
  | 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: 3e9b66f32ed41d9c3691d9c5a8ecc75be966acac55e926d8f6e4937f0bcc563e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8d9a7189c13f9ac2d6dd29ca7757e2f1938a2e5d69b8228740b2fc239db628f",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-05-31T15:58:25Z",
    "title_canon_sha256": "fba05c1f182566bafb9e38c9e1417ea663cecbad9c078c6ef4ca65d1de26ac2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01310",
    "kind": "arxiv",
    "version": 1
  }
}