Pith Number

pith:7NBCEWUV

pith:2018:7NBCEWUVUW5Z6BOJASGE745R67

not attested not anchored not stored refs pending

Open class determinacy is preserved by forcing

Joel David Hamkins, W. Hugh Woodin

arxiv:1806.11180 v1 · 2018-06-28 · 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{7NBCEWUVUW5Z6BOJASGE745R67}

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	2026-05-18T00:12:03.392867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb42225a95a5bb9f05c9048c4ff3b1f7e739085f91279de7f7b9823e1453e9f3

Aliases

arxiv: 1806.11180 · arxiv_version: 1806.11180v1 · doi: 10.48550/arxiv.1806.11180 · pith_short_12: 7NBCEWUVUW5Z · pith_short_16: 7NBCEWUVUW5Z6BOJ · pith_short_8: 7NBCEWUV

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/7NBCEWUVUW5Z6BOJASGE745R67 \
  | 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: fb42225a95a5bb9f05c9048c4ff3b1f7e739085f91279de7f7b9823e1453e9f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0255cb8101e039c6eb7b7b0e2c1b0df3f38d48d0cb0e3fda589c4c8b3cb127db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-06-28T20:43:16Z",
    "title_canon_sha256": "15f825cbb2ae1bd2559c74b90d1b368a39a200bfb6b4c1675a0052ff6a982d6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11180",
    "kind": "arxiv",
    "version": 1
  }
}