Pith Number

pith:D4DNBC6J

pith:2016:D4DNBC6JCWM6RJUGEJLYBY65ZE

not attested not anchored not stored refs pending

The Halpern-L\"auchli Theorem at a Measurable Cardinal

Dan Hathaway, Natasha Dobrinen

arxiv:1608.00592 v3 · 2016-08-01 · 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{D4DNBC6JCWM6RJUGEJLYBY65ZE}

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	2026-05-18T00:22:06.661307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f06d08bc91599e8a686225780e3ddc92bf87cb8107ee45fca4081122dc07db6

Aliases

arxiv: 1608.00592 · arxiv_version: 1608.00592v3 · doi: 10.48550/arxiv.1608.00592 · pith_short_12: D4DNBC6JCWM6 · pith_short_16: D4DNBC6JCWM6RJUG · pith_short_8: D4DNBC6J

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/D4DNBC6JCWM6RJUGEJLYBY65ZE \
  | 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: 1f06d08bc91599e8a686225780e3ddc92bf87cb8107ee45fca4081122dc07db6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bb56aa2330b51125f16ba987db282042cf54170731bc5a54cf6d61f8beb6bb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-08-01T20:01:05Z",
    "title_canon_sha256": "2b8a4efc23bb542813536818263b437bcdd6003d66d3fd91684e0de35d223312"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00592",
    "kind": "arxiv",
    "version": 3
  }
}