Pith Number

pith:KQZAHXC7

pith:2017:KQZAHXC77HLEAJGKSNK7526YWS

not attested not anchored not stored refs pending

Forcing and the Halpern-L\"auchli Theorem

Dan Hathaway, Natasha Dobrinen

arxiv:1706.08174 v4 · 2017-06-25 · 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{KQZAHXC77HLEAJGKSNK7526YWS}

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	2026-05-17T23:45:53.501721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

543203dc5ff9d64024ca9355feebd8b49c09c3f02776deddefc2eda9f59f9b47

Aliases

arxiv: 1706.08174 · arxiv_version: 1706.08174v4 · doi: 10.48550/arxiv.1706.08174 · pith_short_12: KQZAHXC77HLE · pith_short_16: KQZAHXC77HLEAJGK · pith_short_8: KQZAHXC7

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/KQZAHXC77HLEAJGKSNK7526YWS \
  | 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: 543203dc5ff9d64024ca9355feebd8b49c09c3f02776deddefc2eda9f59f9b47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aa10ece7d63add92a8e1230fe94a361adca2ff01c125afc0b2f5c9d2244cbb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-06-25T21:27:01Z",
    "title_canon_sha256": "902b6fc9324d57f9fe07c9b0fb4aff7178594e19bb12ad0c34baf415d675b446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08174",
    "kind": "arxiv",
    "version": 4
  }
}