Pith Number

pith:M4LZFNYZ

pith:2026:M4LZFNYZARVV6GKS4IIMM67C7F

not attested not anchored not stored refs pending

The classification of real quadratic fields which satisfy Hammarhjelm's condition

Zeev Rudnick

arxiv:2606.31544 v1 · 2026-06-30 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4LZFNYZARVV6GKS4IIMM67C7F}

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	2026-07-01T01:18:06.633535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

671792b719046b5f1952e210c67be2f957401913b5c235e05e13f7b5572060f5

Aliases

arxiv: 2606.31544 · arxiv_version: 2606.31544v1 · doi: 10.48550/arxiv.2606.31544 · pith_short_12: M4LZFNYZARVV · pith_short_16: M4LZFNYZARVV6GKS · pith_short_8: M4LZFNYZ

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/M4LZFNYZARVV6GKS4IIMM67C7F \
  | 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: 671792b719046b5f1952e210c67be2f957401913b5c235e05e13f7b5572060f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1a97ecfabff4726e872d73a08294de2d374a809f1db62556c4aaf0a0985bfbe",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-30T11:56:14Z",
    "title_canon_sha256": "bc1005b18d5319adb4a6fd5bb7d5bbb26316ecb2569f3b12feec84ff0405fc66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31544",
    "kind": "arxiv",
    "version": 1
  }
}