Pith Number

pith:V64ACVQG

pith:2019:V64ACVQGAMEJIOZMYF3KDE2KTV

not attested not anchored not stored refs pending

Undecidability, unit groups, and some totally imaginary infinite extensions of $\mathbb{Q}$

Caleb Springer

arxiv:1910.01239 v2 · 2019-10-02 · 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{V64ACVQGAMEJIOZMYF3KDE2KTV}

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	2026-07-05T01:06:49.860090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afb80156060308943b2cc176a1934a9d491422798b71ae66754f0ab8011c66f5

Aliases

arxiv: 1910.01239 · arxiv_version: 1910.01239v2 · doi: 10.48550/arxiv.1910.01239 · pith_short_12: V64ACVQGAMEJ · pith_short_16: V64ACVQGAMEJIOZM · pith_short_8: V64ACVQG

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/V64ACVQGAMEJIOZMYF3KDE2KTV \
  | 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: afb80156060308943b2cc176a1934a9d491422798b71ae66754f0ab8011c66f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2809e25ca9ece98a1c2f0a14e04bb4cf6c84f0be21a813bb2df9297393e165d0",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-10-02T22:12:58Z",
    "title_canon_sha256": "fee4fc728afe10bc38b8d57e2463a1e8858bd0ff7cb89dd5a886790ccad7b604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.01239",
    "kind": "arxiv",
    "version": 2
  }
}