Pith Number

pith:HSRJX2X6

pith:2015:HSRJX2X62AQ4ARBUX36TUJ4DUX

not attested not anchored not stored refs pending

Romanov's Theorem in Number Fields

Manfred G. Madritsch, Stefan Planitzer

arxiv:1512.04869 v2 · 2015-12-15 · 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{HSRJX2X62AQ4ARBUX36TUJ4DUX}

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	2026-05-18T00:26:38.014752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ca29beafed021c04434befd3a2783a5eee5041c914fae4f857239bb699ff39d

Aliases

arxiv: 1512.04869 · arxiv_version: 1512.04869v2 · doi: 10.48550/arxiv.1512.04869 · pith_short_12: HSRJX2X62AQ4 · pith_short_16: HSRJX2X62AQ4ARBU · pith_short_8: HSRJX2X6

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/HSRJX2X62AQ4ARBUX36TUJ4DUX \
  | 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: 3ca29beafed021c04434befd3a2783a5eee5041c914fae4f857239bb699ff39d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0455e04b4d3b64be2e4f4712800feef1da0e68ed2d274b9ebe505ce394375703",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-15T17:28:57Z",
    "title_canon_sha256": "631671ffb68ab88008c90fc641eac952925ba02d05e9ce75fa1b6e28bdcf5146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04869",
    "kind": "arxiv",
    "version": 2
  }
}