Pith Number

pith:O4BCQQGC

pith:2011:O4BCQQGCNQSKQRI2ER23GFXGYX

not attested not anchored not stored refs pending

A dichotomy for expansions of the real field

Antongiulio Fornasiero, Chris Miller, Philipp Hieronymi

arxiv:1105.2946 v3 · 2011-05-15 · 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{O4BCQQGCNQSKQRI2ER23GFXGYX}

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	2026-05-18T03:39:29.355546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77022840c26c24a8451a2475b316e6c5cc7b302a37a9be50275029469987f774

Aliases

arxiv: 1105.2946 · arxiv_version: 1105.2946v3 · doi: 10.48550/arxiv.1105.2946 · pith_short_12: O4BCQQGCNQSK · pith_short_16: O4BCQQGCNQSKQRI2 · pith_short_8: O4BCQQGC

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/O4BCQQGCNQSKQRI2ER23GFXGYX \
  | 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: 77022840c26c24a8451a2475b316e6c5cc7b302a37a9be50275029469987f774

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6402441b8569b093a865284ab98c0b306850142dae3c2e66c1aeacb0bb6a1880",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-05-15T13:41:23Z",
    "title_canon_sha256": "fa9f231237108cb88c51d684b16b70dcd0c83086035f9ca84461b418464ea499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2946",
    "kind": "arxiv",
    "version": 3
  }
}