Pith Number

pith:A4PXXUP3

pith:2019:A4PXXUP3XIDQR3E7XTWFR67ITO

not attested not anchored not stored refs pending

Definable Maximal Independent Families

J\"org Brendle, Vera Fischer, Yurii Khomskii

arxiv:1905.04756 v1 · 2019-05-12 · 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{A4PXXUP3XIDQR3E7XTWFR67ITO}

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	2026-05-17T23:46:23.640580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

071f7bd1fbba0708ec9fbcec58fbe89b847b768847930a46d54ca07921d42451

Aliases

arxiv: 1905.04756 · arxiv_version: 1905.04756v1 · doi: 10.48550/arxiv.1905.04756 · pith_short_12: A4PXXUP3XIDQ · pith_short_16: A4PXXUP3XIDQR3E7 · pith_short_8: A4PXXUP3

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/A4PXXUP3XIDQR3E7XTWFR67ITO \
  | 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: 071f7bd1fbba0708ec9fbcec58fbe89b847b768847930a46d54ca07921d42451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21a95c5bf2b1bdfa558b13929ec03fa6ce10cb86423fea46a8c2d0bc4c9b2f51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-05-12T17:57:10Z",
    "title_canon_sha256": "90b741ca6dd2276dab16b4492d7d7dd85b6dec006467d94158a2af88b86cab2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04756",
    "kind": "arxiv",
    "version": 1
  }
}