Pith Number

pith:TLMKPTDQ

pith:2024:TLMKPTDQJGZQWNIW5T56N3AIY7

not attested not anchored not stored refs pending

Vop\v{e}nka's Principle, Maximum Deconstructibility, and singly-generated torsion classes

Sean Cox

arxiv:2412.19380 v3 · 2024-12-26 · math.LO · math.AC · math.CT · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLMKPTDQJGZQWNIW5T56N3AIY7}

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	2026-07-05T11:07:18.567252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ad8a7cc7049b30b3516ecfbe6ec08c7e1f43097169c2f695f0eef0b1eb53fe3

Aliases

arxiv: 2412.19380 · arxiv_version: 2412.19380v3 · doi: 10.48550/arxiv.2412.19380 · pith_short_12: TLMKPTDQJGZQ · pith_short_16: TLMKPTDQJGZQWNIW · pith_short_8: TLMKPTDQ

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/TLMKPTDQJGZQWNIW5T56N3AIY7 \
  | 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: 9ad8a7cc7049b30b3516ecfbe6ec08c7e1f43097169c2f695f0eef0b1eb53fe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9121d1bfd46fcac7b8d72ddedc29483ac780667b7f33a5410f93b301aedc15b",
    "cross_cats_sorted": [
      "math.AC",
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2024-12-26T23:40:45Z",
    "title_canon_sha256": "036455e90a4fca459dd942cf459d233477f621463498b16b5deb8bd258ee6a01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19380",
    "kind": "arxiv",
    "version": 3
  }
}