Pith Number

pith:5ARLH6BL

pith:2016:5ARLH6BL5V3RRZLAWQBWJ35DLE

not attested not anchored not stored refs pending

On Cartwright's theorem

Alexander Ulanovskii, Natalia Blank

arxiv:1603.09585 v1 · 2016-03-31 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ARLH6BL5V3RRZLAWQBWJ35DLE}

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	2026-05-18T01:17:58.115565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e822b3f82bed7718e560b40364efa35937e28b337f7679a77614ebf524f10c79

Aliases

arxiv: 1603.09585 · arxiv_version: 1603.09585v1 · doi: 10.48550/arxiv.1603.09585 · pith_short_12: 5ARLH6BL5V3R · pith_short_16: 5ARLH6BL5V3RRZLA · pith_short_8: 5ARLH6BL

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/5ARLH6BL5V3RRZLAWQBWJ35DLE \
  | 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: e822b3f82bed7718e560b40364efa35937e28b337f7679a77614ebf524f10c79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81cb0b7d4df1373d2c39351684f2568f5a5b22f369a9b05975805340978cb254",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-03-31T13:25:54Z",
    "title_canon_sha256": "cdfe7c62abab0fcac7fd0aa30efb5141958c5b9403d1671b4f63960b7b4af76b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09585",
    "kind": "arxiv",
    "version": 1
  }
}