Pith Number

pith:PEVGYYXG

pith:2012:PEVGYYXGO27JI4LCQ326NPNLLI

not attested not anchored not stored refs pending

Balls in the triangular ratio metric

Matti Vuorinen, Riku Kl\'en, Sami Hokuni, Yaxiang Li

arxiv:1212.2331 v3 · 2012-12-11 · 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{PEVGYYXGO27JI4LCQ326NPNLLI}

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	2026-05-18T01:13:31.345766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

792a6c62e676be94716286f5e6bdab5a3415a0b492488ac6f01488014c749a53

Aliases

arxiv: 1212.2331 · arxiv_version: 1212.2331v3 · doi: 10.48550/arxiv.1212.2331 · pith_short_12: PEVGYYXGO27J · pith_short_16: PEVGYYXGO27JI4LC · pith_short_8: PEVGYYXG

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/PEVGYYXGO27JI4LCQ326NPNLLI \
  | 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: 792a6c62e676be94716286f5e6bdab5a3415a0b492488ac6f01488014c749a53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dde7c0bdf21b7dcf0b4174dce0447e5df1ec448e17c0b5df5480f1699e2d00a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-12-11T08:44:45Z",
    "title_canon_sha256": "6f1108366bf23b526b724faca7ee4814674f26c9f17b645fb28d55cfaf94adb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2331",
    "kind": "arxiv",
    "version": 3
  }
}