Pith Number

pith:7ONTOSVD

pith:2017:7ONTOSVDM7BNLBTYJTXEQP3WI7

not attested not anchored not stored refs pending

A model of the generic Vop\v{e}nka principle in which the ordinals are not Mahlo

Joel David Hamkins, Victoria Gitman

arxiv:1706.00843 v2 · 2017-06-02 · 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{7ONTOSVDM7BNLBTYJTXEQP3WI7}

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	2026-05-18T00:18:31.810940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb9b374aa367c2d586784cee483f7647e35e80bad171ef1aada0530993287cc3

Aliases

arxiv: 1706.00843 · arxiv_version: 1706.00843v2 · doi: 10.48550/arxiv.1706.00843 · pith_short_12: 7ONTOSVDM7BN · pith_short_16: 7ONTOSVDM7BNLBTY · pith_short_8: 7ONTOSVD

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/7ONTOSVDM7BNLBTYJTXEQP3WI7 \
  | 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: fb9b374aa367c2d586784cee483f7647e35e80bad171ef1aada0530993287cc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c24e11e39050619d726a16c73ad577268430a0db91194741e0eb90761022a4ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-06-02T20:34:23Z",
    "title_canon_sha256": "a55398180d91ab6ab5d7082f405c3f602a59a1a0a5f012a4c51f67c83bd86363"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00843",
    "kind": "arxiv",
    "version": 2
  }
}