Pith Number

pith:ZSEIMQOQ

pith:2010:ZSEIMQOQ24MQTTGFY5BFDJHSQJ

not attested not anchored not stored refs pending

Hilbert's Tenth Problem and Mazur's Conjectures in Complementary Subrings of Number Fields

Alexandra Shlapentokh, Graham Everest, Kirsten Eisentraeger

arxiv:1012.4878 v2 · 2010-12-22 · math.LO · 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{ZSEIMQOQ24MQTTGFY5BFDJHSQJ}

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	2026-05-18T04:13:15.980077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc888641d0d71909ccc5c74251a4f28274e13dd3f480b03757f90c083770bec4

Aliases

arxiv: 1012.4878 · arxiv_version: 1012.4878v2 · doi: 10.48550/arxiv.1012.4878 · pith_short_12: ZSEIMQOQ24MQ · pith_short_16: ZSEIMQOQ24MQTTGF · pith_short_8: ZSEIMQOQ

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/ZSEIMQOQ24MQTTGFY5BFDJHSQJ \
  | 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: cc888641d0d71909ccc5c74251a4f28274e13dd3f480b03757f90c083770bec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0423487a1e02853b60e0a73ca878cdc96aa0bb333ba2e5f353ab128d5de9e8b3",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-12-22T04:56:26Z",
    "title_canon_sha256": "6126f033f583d610c1fe8ad7e3deb8cfa62bd93ffb5a0ca55d4141f6aab6e8e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4878",
    "kind": "arxiv",
    "version": 2
  }
}