Pith Number

pith:PAF3F37P

pith:2011:PAF3F37P7ROUHYDD4K2LKYISCQ

not attested not anchored not stored refs pending

Categoricity Properties for Computable Algebraic Fields

Alexandra Shlapentokh, Denis Hirschfeldt, Ken Kramer, Russell Miller

arxiv:1111.1211 v2 · 2011-11-04 · math.LO · math.AC · 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{PAF3F37P7ROUHYDD4K2LKYISCQ}

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	2026-05-18T00:24:02.584839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

780bb2efeffc5d43e063e2b4b561121420544fd6dd9c9ee207e4edf5b9212d45

Aliases

arxiv: 1111.1211 · arxiv_version: 1111.1211v2 · doi: 10.48550/arxiv.1111.1211 · pith_short_12: PAF3F37P7ROU · pith_short_16: PAF3F37P7ROUHYDD · pith_short_8: PAF3F37P

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/PAF3F37P7ROUHYDD4K2LKYISCQ \
  | 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: 780bb2efeffc5d43e063e2b4b561121420544fd6dd9c9ee207e4edf5b9212d45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e61aca318f46f0587516424f5aac14ef4cfc2881c32134b4c5ff5bd18ed63df8",
    "cross_cats_sorted": [
      "math.AC",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-11-04T18:51:15Z",
    "title_canon_sha256": "10916356c71338e38324f879690f61326393be11c30405b9b1d5abe7ce3e00fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1211",
    "kind": "arxiv",
    "version": 2
  }
}