Pith Number

pith:AN6EU52M

pith:2015:AN6EU52MKJ455ATCO4B3R7V4T7

not attested not anchored not stored refs pending

Covering properties and square principles

Chris Lambie-Hanson

arxiv:1510.05386 v2 · 2015-10-19 · 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{AN6EU52MKJ455ATCO4B3R7V4T7}

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	2026-05-18T01:15:38.553022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

037c4a774c5279de82627703b8febc9fc33d781d08d7a1869e348db777536e00

Aliases

arxiv: 1510.05386 · arxiv_version: 1510.05386v2 · doi: 10.48550/arxiv.1510.05386 · pith_short_12: AN6EU52MKJ45 · pith_short_16: AN6EU52MKJ455ATC · pith_short_8: AN6EU52M

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/AN6EU52MKJ455ATCO4B3R7V4T7 \
  | 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: 037c4a774c5279de82627703b8febc9fc33d781d08d7a1869e348db777536e00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10f4fa9bc09a26357d3bef0dc2586c56d9626aee5fb8f19c695da15427a8132b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-10-19T08:39:02Z",
    "title_canon_sha256": "6e763bcfeee4c5595a7781b837e0aaa12bb4b9b851d030073c5836cf6e4a2359"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05386",
    "kind": "arxiv",
    "version": 2
  }
}