Pith Number

pith:NHQDAFWH

pith:2012:NHQDAFWHFOGKV3FG43DJGECGSP

not attested not anchored not stored refs pending

Uncountable Real Closed Fields with PA Integer Parts

Charles Steinhorn, David Marker, James Schmerl

arxiv:1205.5156 v2 · 2012-05-23 · 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{NHQDAFWHFOGKV3FG43DJGECGSP}

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	2026-05-18T03:01:11.243954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69e03016c72b8caaeca6e6c693104693dcf11fc127266833d758481b6a34d568

Aliases

arxiv: 1205.5156 · arxiv_version: 1205.5156v2 · doi: 10.48550/arxiv.1205.5156 · pith_short_12: NHQDAFWHFOGK · pith_short_16: NHQDAFWHFOGKV3FG · pith_short_8: NHQDAFWH

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/NHQDAFWHFOGKV3FG43DJGECGSP \
  | 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: 69e03016c72b8caaeca6e6c693104693dcf11fc127266833d758481b6a34d568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d4d8f56432e6186eaea4ee52916dbd2e19977fd37d24bf0ee9a77573e3d6b03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-05-23T11:23:06Z",
    "title_canon_sha256": "c71f4b765eea86eac3c9f3f2b993e5c1481e57a9213338b1735fb582ee262a1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5156",
    "kind": "arxiv",
    "version": 2
  }
}