Pith Number

pith:JKQKLOUT

pith:2011:JKQKLOUTLRFGA7TFJJ2OVY6FGL

not attested not anchored not stored refs pending

An elementary, illustrative proof of the Rado-Horn Theorem

Jesse Peterson, Peter G. Casazza

arxiv:1112.0161 v1 · 2011-12-01 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JKQKLOUTLRFGA7TFJJ2OVY6FGL}

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	2026-05-18T04:07:16.745735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4aa0a5ba935c4a607e654a74eae3c532cd2f78231c3c4f172579a9bcec131e27

Aliases

arxiv: 1112.0161 · arxiv_version: 1112.0161v1 · doi: 10.48550/arxiv.1112.0161 · pith_short_12: JKQKLOUTLRFG · pith_short_16: JKQKLOUTLRFGA7TF · pith_short_8: JKQKLOUT

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/JKQKLOUTLRFGA7TFJJ2OVY6FGL \
  | 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: 4aa0a5ba935c4a607e654a74eae3c532cd2f78231c3c4f172579a9bcec131e27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a62d33a425b775b45500d6707dbdec803f711e0f3da877ceca6e6bd2ff0c6b33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-01T12:39:38Z",
    "title_canon_sha256": "124764a096b954f5846445f4f6400c214e17d4a49528bb492348c73a70caec90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0161",
    "kind": "arxiv",
    "version": 1
  }
}