Pith Number

pith:UYJXN2XN

pith:2017:UYJXN2XNQXVPIF3NWPXU33YSGH

not attested not anchored not stored refs pending

Busemann's intersection inequality in hyperbolic and spherical spaces

Jaegil Kim, Susanna Dann, Vladyslav Yaskin

arxiv:1706.06776 v1 · 2017-06-21 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UYJXN2XNQXVPIF3NWPXU33YSGH}

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	2026-05-18T00:41:56.881350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a61376eaed85eaf4176db3ef4def1231d758d3813617249426feaf11a69c1abb

Aliases

arxiv: 1706.06776 · arxiv_version: 1706.06776v1 · doi: 10.48550/arxiv.1706.06776 · pith_short_12: UYJXN2XNQXVP · pith_short_16: UYJXN2XNQXVPIF3N · pith_short_8: UYJXN2XN

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/UYJXN2XNQXVPIF3NWPXU33YSGH \
  | 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: a61376eaed85eaf4176db3ef4def1231d758d3813617249426feaf11a69c1abb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a571bf77cf2289b500f4f7dde386b3d1e17a1bd16c54f03e9b3faa60951246e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-06-21T08:02:36Z",
    "title_canon_sha256": "e88235481924f7facba4cd75fd480c7da40c7c7a2f1ace6132a0ef1dc0f4b48e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06776",
    "kind": "arxiv",
    "version": 1
  }
}