Pith Number

pith:3JGRVKX4

pith:2011:3JGRVKX4WZATDAQ3R576H2DPAU

not attested not anchored not stored refs pending

Quantifier elimination in ordered abelian groups

Immanuel Halupczok, Raf Cluckers

arxiv:1110.3200 v1 · 2011-10-14 · 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{3JGRVKX4WZATDAQ3R576H2DPAU}

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	2026-05-18T04:04:06.501623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da4d1aaafcb64131821b8f7fe3e86f053112b7df4ee741ed3bbaa6aefb888ba4

Aliases

arxiv: 1110.3200 · arxiv_version: 1110.3200v1 · doi: 10.48550/arxiv.1110.3200 · pith_short_12: 3JGRVKX4WZAT · pith_short_16: 3JGRVKX4WZATDAQ3 · pith_short_8: 3JGRVKX4

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/3JGRVKX4WZATDAQ3R576H2DPAU \
  | 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: da4d1aaafcb64131821b8f7fe3e86f053112b7df4ee741ed3bbaa6aefb888ba4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b3db8bfebdafd64310d8667ced813ab1586fd9a690349fd3bd91d28077e2977",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-10-14T13:16:48Z",
    "title_canon_sha256": "5d731efd6a6b5bfa4d748b67d408ef62677108b9496007b9bf786919295456a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3200",
    "kind": "arxiv",
    "version": 1
  }
}