Pith Number

pith:RPXRICXS

pith:2018:RPXRICXSIQJCYP2PVTJQU766DR

not attested not anchored not stored refs pending

Torsion-Free Abelian Groups are Consistently $a \Delta^1_2$-complete

Douglas Ulrich, Saharon Shelah

arxiv:1804.08152 v1 · 2018-04-22 · 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{RPXRICXSIQJCYP2PVTJQU766DR}

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	2026-05-18T00:17:49.396442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bef140af244122c3f4facd30a7fde1c45758221c5c0e793be6e1ac59ccc90a6

Aliases

arxiv: 1804.08152 · arxiv_version: 1804.08152v1 · doi: 10.48550/arxiv.1804.08152 · pith_short_12: RPXRICXSIQJC · pith_short_16: RPXRICXSIQJCYP2P · pith_short_8: RPXRICXS

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/RPXRICXSIQJCYP2PVTJQU766DR \
  | 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: 8bef140af244122c3f4facd30a7fde1c45758221c5c0e793be6e1ac59ccc90a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bb2d9b8543390c97be2b8585a894560d77c08c8d9b7615cb0e8d694fa086ece",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-04-22T18:32:39Z",
    "title_canon_sha256": "ff369c196bdd785a187f3fab4a85f7e6d77b3fdceb990abff46c06bc5c59deb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08152",
    "kind": "arxiv",
    "version": 1
  }
}