Pith Number

pith:G5ZDZRLT

pith:2011:G5ZDZRLTEO6RZ2DZALO2FP3L2N

not attested not anchored not stored refs pending

On the sum of powered distances to certain sets of points on the circle

Nikolai Nikolov, Rafael Rafailov

arxiv:1108.4652 v1 · 2011-08-23 · 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{G5ZDZRLTEO6RZ2DZALO2FP3L2N}

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	2026-05-18T03:46:45.513403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37723cc57323bd1ce87902dda2bf6bd3465eb486649dcf9926b4f240fcffd3e4

Aliases

arxiv: 1108.4652 · arxiv_version: 1108.4652v1 · doi: 10.48550/arxiv.1108.4652 · pith_short_12: G5ZDZRLTEO6R · pith_short_16: G5ZDZRLTEO6RZ2DZ · pith_short_8: G5ZDZRLT

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/G5ZDZRLTEO6RZ2DZALO2FP3L2N \
  | 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: 37723cc57323bd1ce87902dda2bf6bd3465eb486649dcf9926b4f240fcffd3e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dfe9a649b15a0b0b7431675087f05b0a37c9eece274762477c269c9573658d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-08-23T16:55:14Z",
    "title_canon_sha256": "0a4cdf49180a9bf414a1f69ac9fb05c4ee314eb24f2a76ae70e776374a8aeeb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4652",
    "kind": "arxiv",
    "version": 1
  }
}