Pith Number

pith:W5LV2X6A

pith:2012:W5LV2X6AIVOSBJUKOA4CCZ32ZB

not attested not anchored not stored refs pending

The $ \mathbf{\Sigma}^1_2$ counterparts to statements that are equivalent to the Continuum Hypothesis

Asger Tornquist, William Weiss

arxiv:1201.0382 v2 · 2012-01-01 · 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{W5LV2X6AIVOSBJUKOA4CCZ32ZB}

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	2026-05-18T03:40:03.208899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7575d5fc0455d20a68a703821677ac87cd40f98ba39312081603f34f722955f

Aliases

arxiv: 1201.0382 · arxiv_version: 1201.0382v2 · doi: 10.48550/arxiv.1201.0382 · pith_short_12: W5LV2X6AIVOS · pith_short_16: W5LV2X6AIVOSBJUK · pith_short_8: W5LV2X6A

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/W5LV2X6AIVOSBJUKOA4CCZ32ZB \
  | 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: b7575d5fc0455d20a68a703821677ac87cd40f98ba39312081603f34f722955f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6a326f5951d4a94e4d67b7a243e65b9dc21a50ac166d26bef6339062e53433d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-01-01T20:24:08Z",
    "title_canon_sha256": "cd9faa78118993e0afc25687010949beb33a687d3574b2ba0a351efb3bd04ae0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0382",
    "kind": "arxiv",
    "version": 2
  }
}