Pith Number

pith:2BS3MI7N

pith:2010:2BS3MI7NJBGKN57M2PS6ZLQ7QS

not attested not anchored not stored refs pending

Expansions of subfields of the real field by a discrete set

Philipp Hieronymi

arxiv:1012.3508 v4 · 2010-12-16 · 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{2BS3MI7NJBGKN57M2PS6ZLQ7QS}

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	2026-05-18T04:05:48.437743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d065b623ed484ca6f7ecd3e5ecae1f848cd6b1b3682f3c4d93a8a07d64511688

Aliases

arxiv: 1012.3508 · arxiv_version: 1012.3508v4 · doi: 10.48550/arxiv.1012.3508 · pith_short_12: 2BS3MI7NJBGK · pith_short_16: 2BS3MI7NJBGKN57M · pith_short_8: 2BS3MI7N

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/2BS3MI7NJBGKN57M2PS6ZLQ7QS \
  | 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: d065b623ed484ca6f7ecd3e5ecae1f848cd6b1b3682f3c4d93a8a07d64511688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84a94ddc13cc177dc92640cd142985a4b3768948476dc33cf68f33dfa5541d5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-12-16T03:33:37Z",
    "title_canon_sha256": "11fc8c4d8f0fed4cf934c451a92249966e5486ca8a27e1ad8c69758609c67080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3508",
    "kind": "arxiv",
    "version": 4
  }
}