Pith Number

pith:BDR4KTAF

pith:2012:BDR4KTAFJDRZRN5CYVNV7MQ7EW

not attested not anchored not stored refs pending

Zorn's Lemma- An elementary proof under the Axiom of Choice

Arjun Jain

arxiv:1207.6698 v1 · 2012-07-28 · 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{BDR4KTAFJDRZRN5CYVNV7MQ7EW}

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	2026-05-18T03:49:48.987804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08e3c54c0548e398b7a2c55b5fb21f25a51012935a7d80d1ad5859b957ee3533

Aliases

arxiv: 1207.6698 · arxiv_version: 1207.6698v1 · doi: 10.48550/arxiv.1207.6698 · pith_short_12: BDR4KTAFJDRZ · pith_short_16: BDR4KTAFJDRZRN5C · pith_short_8: BDR4KTAF

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/BDR4KTAFJDRZRN5CYVNV7MQ7EW \
  | 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: 08e3c54c0548e398b7a2c55b5fb21f25a51012935a7d80d1ad5859b957ee3533

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c15b590cb0dabc21aee80472699e0c9eabc5104ba6438098fcf7e24a2d7dbc49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-07-28T11:49:14Z",
    "title_canon_sha256": "f89cd9a2d98cfa0d64016905ac8c4405c383bf429c09ba36fb824d08b8de930b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6698",
    "kind": "arxiv",
    "version": 1
  }
}