Pith Number

pith:GD7NNJ6A

pith:2017:GD7NNJ6AHEOV6AAYCLIJOJHPDQ

not attested not anchored not stored refs pending

On O-Minimal Expansions of $(\mathbb{Q},<,+,0)$

Fran\c{c}oise Delon, Pablo Cubides Kovacsics

arxiv:1704.03050 v2 · 2017-04-10 · math.LO · 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{GD7NNJ6AHEOV6AAYCLIJOJHPDQ}

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	2026-05-18T00:44:56.982517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30fed6a7c0391d5f001812d09724ef1c3e94f3e3eb807bef66e0201b65fc3ecb

Aliases

arxiv: 1704.03050 · arxiv_version: 1704.03050v2 · doi: 10.48550/arxiv.1704.03050 · pith_short_12: GD7NNJ6AHEOV · pith_short_16: GD7NNJ6AHEOV6AAY · pith_short_8: GD7NNJ6A

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/GD7NNJ6AHEOV6AAYCLIJOJHPDQ \
  | 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: 30fed6a7c0391d5f001812d09724ef1c3e94f3e3eb807bef66e0201b65fc3ecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "148b3d19662d9b21576fd689727e1ce92ed85d0d45e558329fd2f3632d79635b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-04-10T20:37:03Z",
    "title_canon_sha256": "61e087a282a48f08a0428181579ed1372e041f74f52c8395a1bca7ea9e47a866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03050",
    "kind": "arxiv",
    "version": 2
  }
}