Pith Number

pith:7RLVZWDD

pith:2013:7RLVZWDD2BTU2MO27FG64DY5Y7

not attested not anchored not stored refs pending

An Easton-like Theorem for Zermelo-Fraenkel Set Theory Without Choice (Preliminary Report)

Anne Fernengel, Peter Koepke

arxiv:1308.1696 v1 · 2013-08-07 · 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{7RLVZWDD2BTU2MO27FG64DY5Y7}

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	2026-05-18T03:16:28.025880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc575cd863d0674d31daf94dee0f1dc7cf67d684faea2e22d0518c52d80e19b5

Aliases

arxiv: 1308.1696 · arxiv_version: 1308.1696v1 · doi: 10.48550/arxiv.1308.1696 · pith_short_12: 7RLVZWDD2BTU · pith_short_16: 7RLVZWDD2BTU2MO2 · pith_short_8: 7RLVZWDD

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/7RLVZWDD2BTU2MO27FG64DY5Y7 \
  | 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: fc575cd863d0674d31daf94dee0f1dc7cf67d684faea2e22d0518c52d80e19b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1f979465a1c2fd712b356e5c8ba4974512c0b17ca663dfbbe82100b8d6b324f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-08-07T20:55:35Z",
    "title_canon_sha256": "750bae1fe2161df94354bd352686f55336005b7b03d276d5907efadc20cf27a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1696",
    "kind": "arxiv",
    "version": 1
  }
}