Pith Number

pith:6Y4XORZH

pith:2015:6Y4XORZHBFR25ZAMLU6A2JQEFQ

not attested not anchored not stored refs pending

HOD, V and the GCH

Mohammad Golshani

arxiv:1512.06192 v1 · 2015-12-19 · 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{6Y4XORZHBFR25ZAMLU6A2JQEFQ}

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	2026-05-18T01:24:01.165643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6397747270963aee40c5d3c0d26042c3907c3ce168d5938f7aa9e61823f9128

Aliases

arxiv: 1512.06192 · arxiv_version: 1512.06192v1 · doi: 10.48550/arxiv.1512.06192 · pith_short_12: 6Y4XORZHBFR2 · pith_short_16: 6Y4XORZHBFR25ZAM · pith_short_8: 6Y4XORZH

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/6Y4XORZHBFR25ZAMLU6A2JQEFQ \
  | 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: f6397747270963aee40c5d3c0d26042c3907c3ce168d5938f7aa9e61823f9128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1442987fdba5a5e6883c0ea3052a46cb550f3b9ef88da73062bb9405701db76d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-12-19T05:22:07Z",
    "title_canon_sha256": "3a7c2cb2600cd0488b820d72c0ccb6db8c121b3017b01c14ae466cd85efa478e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06192",
    "kind": "arxiv",
    "version": 1
  }
}