Pith Number

pith:U2BZPJDS

pith:2019:U2BZPJDSACACT2YJUGBD7SUBH6

not attested not anchored not stored refs pending

\"{U}ber die Winkel zwischen Unterr\"{a}umen

Nikolay Moshchevitin

arxiv:1902.03546 v5 · 2019-02-10 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U2BZPJDSACACT2YJUGBD7SUBH6}

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	2026-05-17T23:46:09.123123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a68397a472008029eb09a1823fca813fb0be16fa4cc3212d5e598ab0b1ddf259

Aliases

arxiv: 1902.03546 · arxiv_version: 1902.03546v5 · doi: 10.48550/arxiv.1902.03546 · pith_short_12: U2BZPJDSACAC · pith_short_16: U2BZPJDSACACT2YJ · pith_short_8: U2BZPJDS

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/U2BZPJDSACACT2YJUGBD7SUBH6 \
  | 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: a68397a472008029eb09a1823fca813fb0be16fa4cc3212d5e598ab0b1ddf259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f8cd26a45d7ec48191dabba6eadc6d4cd37b9309b8d400c8f079bf05260f30a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-02-10T06:33:25Z",
    "title_canon_sha256": "4759bb91f08095190b9abb97a046d847baf8d1e4c807fd3aa5c7e942d9f4118d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03546",
    "kind": "arxiv",
    "version": 5
  }
}