Pith Number

pith:GI6CVRWC

pith:2014:GI6CVRWC7MFJCP6XVPAQ33CBWT

not attested not anchored not stored refs pending

On Superstable Expansions of Free Abelian Groups

Daniel Palacin, Rizos Sklinos

arxiv:1405.0568 v4 · 2014-05-03 · 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{GI6CVRWC7MFJCP6XVPAQ33CBWT}

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	2026-05-18T00:15:25.067669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

323c2ac6c2fb0a913fd7abc10dec41b4c9f76cef65d10d1d3e2dc3c5546f52d6

Aliases

arxiv: 1405.0568 · arxiv_version: 1405.0568v4 · doi: 10.48550/arxiv.1405.0568 · pith_short_12: GI6CVRWC7MFJ · pith_short_16: GI6CVRWC7MFJCP6X · pith_short_8: GI6CVRWC

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/GI6CVRWC7MFJCP6XVPAQ33CBWT \
  | 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: 323c2ac6c2fb0a913fd7abc10dec41b4c9f76cef65d10d1d3e2dc3c5546f52d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c8ea32c6e3ff54ef66821fef487a987cae19cc17f375a4f54c3aa2af61f6090",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-05-03T11:20:12Z",
    "title_canon_sha256": "4db91e1e2803f4508b2f49717caca5ae1156c0d9759084a61a28a21e06864467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0568",
    "kind": "arxiv",
    "version": 4
  }
}