Pith Number

pith:2RP26V7P

pith:2012:2RP26V7PVPUXAQ3PVWF24C5KNO

not attested not anchored not stored refs pending

Constructing Ultrapowers from Elementary Extensions of Full Clones

Joseph Van Name

arxiv:1207.0118 v1 · 2012-06-30 · 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{2RP26V7PVPUXAQ3PVWF24C5KNO}

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	2026-05-18T03:52:00.305021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d45faf57efabe970436fad8bae0baa6ba4f43f7aa88071db2e31b5afab8387aa

Aliases

arxiv: 1207.0118 · arxiv_version: 1207.0118v1 · doi: 10.48550/arxiv.1207.0118 · pith_short_12: 2RP26V7PVPUX · pith_short_16: 2RP26V7PVPUXAQ3P · pith_short_8: 2RP26V7P

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/2RP26V7PVPUXAQ3PVWF24C5KNO \
  | 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: d45faf57efabe970436fad8bae0baa6ba4f43f7aa88071db2e31b5afab8387aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b65bf5669cabda871906dfed80fa457bbd0e430d1e2293d177993c5b0a7a94a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-06-30T17:20:03Z",
    "title_canon_sha256": "b1fb0b7d7fda624e62c9f705d7e45400fe3e4eb765e106180d3ac14179c57102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0118",
    "kind": "arxiv",
    "version": 1
  }
}