Pith Number

pith:5TFGU6BU

pith:2011:5TFGU6BUKUKBU7IZNQULELQ5PA

not attested not anchored not stored refs pending

The maximum principle in forcing and the axiom of choice

Arnold W. Miller

arxiv:1105.5324 v1 · 2011-05-26 · 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{5TFGU6BUKUKBU7IZNQULELQ5PA}

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	2026-05-18T04:21:12.837053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecca6a783455141a7d196c28b22e1d7819a1fe3f4b37a1f60bc70d27c20e1091

Aliases

arxiv: 1105.5324 · arxiv_version: 1105.5324v1 · doi: 10.48550/arxiv.1105.5324 · pith_short_12: 5TFGU6BUKUKB · pith_short_16: 5TFGU6BUKUKBU7IZ · pith_short_8: 5TFGU6BU

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/5TFGU6BUKUKBU7IZNQULELQ5PA \
  | 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: ecca6a783455141a7d196c28b22e1d7819a1fe3f4b37a1f60bc70d27c20e1091

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cf295e61855e59fcbb213e2ab8c4a6d1998c712336615e6c6847eb68ebad141",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-05-26T15:31:50Z",
    "title_canon_sha256": "b614105d619f503523997366872496f32fafa71cd9a53d5e63e6a123134ecf62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5324",
    "kind": "arxiv",
    "version": 1
  }
}