Pith Number

pith:2X4ESKAK

pith:2012:2X4ESKAK47XDEBGE4ZLDT7TNBG

not attested not anchored not stored refs pending

An Application of the Dedekind-Hasse Criterion

Franz Lemmermeyer

arxiv:1205.1147 v1 · 2012-05-05 · 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{2X4ESKAK47XDEBGE4ZLDT7TNBG}

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	2026-05-18T03:56:11.952092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5f849280ae7ee3204c4e65639fe6d09a9fa489e04a76712b4dc41a80f491463

Aliases

arxiv: 1205.1147 · arxiv_version: 1205.1147v1 · doi: 10.48550/arxiv.1205.1147 · pith_short_12: 2X4ESKAK47XD · pith_short_16: 2X4ESKAK47XDEBGE · pith_short_8: 2X4ESKAK

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/2X4ESKAK47XDEBGE4ZLDT7TNBG \
  | 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: d5f849280ae7ee3204c4e65639fe6d09a9fa489e04a76712b4dc41a80f491463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aeb88ca84c5649485c5a0274fe0cd062d4de6daff7f0ecfc70bfbfbefb14bc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-05T16:32:10Z",
    "title_canon_sha256": "319f11cf1f0a701f89d869b29fe94b9d27daa54e1d2c27ff88a3a35be52bd0b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1147",
    "kind": "arxiv",
    "version": 1
  }
}