Pith Number

pith:QGWJJ2FO

pith:2016:QGWJJ2FOU5Y2JMJ7TKLIH3ZSGW

not attested not anchored not stored refs pending

Irreducibility of Polynomials over Global Fields is Diophantine

Philip Dittmann

arxiv:1601.07829 v3 · 2016-01-28 · math.NT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGWJJ2FOU5Y2JMJ7TKLIH3ZSGW}

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	2026-05-17T23:53:13.398161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81ac94e8aea771a4b13f9a9683ef3235b62d5219c349cdea752a82ce16277d83

Aliases

arxiv: 1601.07829 · arxiv_version: 1601.07829v3 · doi: 10.48550/arxiv.1601.07829 · pith_short_12: QGWJJ2FOU5Y2 · pith_short_16: QGWJJ2FOU5Y2JMJ7 · pith_short_8: QGWJJ2FO

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/QGWJJ2FOU5Y2JMJ7TKLIH3ZSGW \
  | 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: 81ac94e8aea771a4b13f9a9683ef3235b62d5219c349cdea752a82ce16277d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c4d8c58e79e29536e93074adbda3d0cd869e2df74f953e623b88cb4681ad222",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-28T16:53:42Z",
    "title_canon_sha256": "b4d8b7349453d7966cba41341cefd9eeb270837a2d6aeb0c2c50d43b67e3eb2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07829",
    "kind": "arxiv",
    "version": 3
  }
}