Pith Number

pith:HRJ2GDHQ

pith:2012:HRJ2GDHQVRQLCMSCUURHT4OPOT

not attested not anchored not stored refs pending

The Axiom of Multiple Choice and Models for Constructive Set Theory

Benno van den Berg, Ieke Moerdijk

arxiv:1204.4045 v2 · 2012-04-18 · 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{HRJ2GDHQVRQLCMSCUURHT4OPOT}

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	2026-05-18T03:12:20.232479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c53a30cf0ac60b13242a52279f1cf74fd0528f1207e11ce42bc0b2899fe4ca0

Aliases

arxiv: 1204.4045 · arxiv_version: 1204.4045v2 · doi: 10.48550/arxiv.1204.4045 · pith_short_12: HRJ2GDHQVRQL · pith_short_16: HRJ2GDHQVRQLCMSC · pith_short_8: HRJ2GDHQ

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/HRJ2GDHQVRQLCMSCUURHT4OPOT \
  | 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: 3c53a30cf0ac60b13242a52279f1cf74fd0528f1207e11ce42bc0b2899fe4ca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e48061c28b8254b6a3f0d656268b33468e231778460802cfc720cb3faf971459",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-04-18T11:08:25Z",
    "title_canon_sha256": "1e9f42349dc4fe5ea024e0fff0f4371b2ac969590f1ed34641790586d147cc45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4045",
    "kind": "arxiv",
    "version": 2
  }
}