Pith Number

pith:FTTQRNVZ

pith:2017:FTTQRNVZROOJCSU7P72U22QDSJ

not attested not anchored not stored refs pending

Waist of balls in hyperbolic and spherical spaces

Arseniy Akopyan, Roman Karasev

arxiv:1702.07513 v3 · 2017-02-24 · 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{FTTQRNVZROOJCSU7P72U22QDSJ}

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	2026-05-18T00:00:41.535443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ce708b6b98b9c914a9f7ff54d6a039252a4ca59573dc6264b6accb5f8333d54

Aliases

arxiv: 1702.07513 · arxiv_version: 1702.07513v3 · doi: 10.48550/arxiv.1702.07513 · pith_short_12: FTTQRNVZROOJ · pith_short_16: FTTQRNVZROOJCSU7 · pith_short_8: FTTQRNVZ

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/FTTQRNVZROOJCSU7P72U22QDSJ \
  | 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: 2ce708b6b98b9c914a9f7ff54d6a039252a4ca59573dc6264b6accb5f8333d54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d0b2e89c7f8c0ce3618b4ecafbab85fc47893166d6752b6930451332b6bca9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-02-24T09:43:27Z",
    "title_canon_sha256": "b8ace0085ea540db2e6a093b1cdeaa1e6d0802d1725258be93c7aaae756d126e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07513",
    "kind": "arxiv",
    "version": 3
  }
}