Pith Number

pith:5MOVS2J2

pith:2026:5MOVS2J2XCAGJ4TX64D7RFVPWS

not attested not anchored not stored refs pending

Erd\H{o}s-Kac theorems for discriminants of number fields

Jack B. Miller

arxiv:2606.07480 v1 · 2026-06-05 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MOVS2J2XCAGJ4TX64D7RFVPWS}

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	2026-06-08T01:05:29.498530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb1d59693ab88064f277f707f896afb482e0789ce3c02408a6989f040aad4c4d

Aliases

arxiv: 2606.07480 · arxiv_version: 2606.07480v1 · doi: 10.48550/arxiv.2606.07480 · pith_short_12: 5MOVS2J2XCAG · pith_short_16: 5MOVS2J2XCAGJ4TX · pith_short_8: 5MOVS2J2

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/5MOVS2J2XCAGJ4TX64D7RFVPWS \
  | 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: eb1d59693ab88064f277f707f896afb482e0789ce3c02408a6989f040aad4c4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c874c178f4bcbd55e80bc2443c04abad53fa2be521d1a4925be69b403eab8a86",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-05T17:34:54Z",
    "title_canon_sha256": "643087677d5ac8a269504c475796ab10fd12d161acec9af56ba799146ab97214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07480",
    "kind": "arxiv",
    "version": 1
  }
}