Pith Number

pith:THZLTUZQ

pith:2015:THZLTUZQKXAYHTRRGTTNVUFDAH

not attested not anchored not stored refs pending

Mathias--Prikry and Laver type forcing; Summable ideals, coideals, and $+$-selective filters

David Chodounsk\'y, Michael Hru\v{s}\'ak, Osvaldo Guzm\'an

arxiv:1501.02400 v3 · 2015-01-10 · 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{THZLTUZQKXAYHTRRGTTNVUFDAH}

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	2026-05-18T00:49:35.200953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99f2b9d33055c183ce3134e6dad0a301d294af8b1f41573134bfdb69566d64cf

Aliases

arxiv: 1501.02400 · arxiv_version: 1501.02400v3 · doi: 10.48550/arxiv.1501.02400 · pith_short_12: THZLTUZQKXAY · pith_short_16: THZLTUZQKXAYHTRR · pith_short_8: THZLTUZQ

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/THZLTUZQKXAYHTRRGTTNVUFDAH \
  | 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: 99f2b9d33055c183ce3134e6dad0a301d294af8b1f41573134bfdb69566d64cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b032f69b9653802312827c2f4139173af75e2ca090bb3955bbd0ee9ed135989",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-01-10T22:55:06Z",
    "title_canon_sha256": "513fd34c0978cb434a5a45b7714d6711e9fc4cc513bbbeec490a42fa04d8cafe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02400",
    "kind": "arxiv",
    "version": 3
  }
}