Pith Number

pith:G6E33LXG

pith:2024:G6E33LXGYUUGQA7NY26STNB6RM

not attested not anchored not stored refs pending

On cardinal invariants related to Rosenthal families and large-scale topology

Arturo Mart\'inez-Celis, Tomasz \.Zuchowski

arxiv:2404.06639 v1 · 2024-04-09 · 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{G6E33LXGYUUGQA7NY26STNB6RM}

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.

Cited by

1 paper in Pith

Group Relative Knowledge Distillation: Learning from Teacher's Relational Inductive Bias

Receipt and verification

First computed	2026-07-05T08:06:15.106855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3789bdaee6c5286803edc6bd29b43e8b13bbd1b8eff6ae30d1cab064c9909933

Aliases

arxiv: 2404.06639 · arxiv_version: 2404.06639v1 · doi: 10.48550/arxiv.2404.06639 · pith_short_12: G6E33LXGYUUG · pith_short_16: G6E33LXGYUUGQA7N · pith_short_8: G6E33LXG

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/G6E33LXGYUUGQA7NY26STNB6RM \
  | 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: 3789bdaee6c5286803edc6bd29b43e8b13bbd1b8eff6ae30d1cab064c9909933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "721c378ed53877df3548d695febc3b4311e41b73f62d9e3b4670ea2bc6f3e231",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2024-04-09T22:24:32Z",
    "title_canon_sha256": "35a5e963abe3b28cce81ac3b819eef1007f125b5539d51cf41498d7463ee11dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.06639",
    "kind": "arxiv",
    "version": 1
  }
}