Pith Number

pith:7HXJXYPY

pith:2012:7HXJXYPY3XP6A6NY3FNJ6PK5M7

not attested not anchored not stored refs pending

On extremums of sums of powered distances to a finite set of points

Nikolai Nikolov, Rafael Rafailov

arxiv:1211.2975 v1 · 2012-11-13 · 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{7HXJXYPY3XP6A6NY3FNJ6PK5M7}

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	2026-05-18T02:51:23.520605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9ee9be1f8dddfe079b8d95a9f3d5d67d0f282b92b21c1f88a74b34814d076f9

Aliases

arxiv: 1211.2975 · arxiv_version: 1211.2975v1 · doi: 10.48550/arxiv.1211.2975 · pith_short_12: 7HXJXYPY3XP6 · pith_short_16: 7HXJXYPY3XP6A6NY · pith_short_8: 7HXJXYPY

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/7HXJXYPY3XP6A6NY3FNJ6PK5M7 \
  | 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: f9ee9be1f8dddfe079b8d95a9f3d5d67d0f282b92b21c1f88a74b34814d076f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "331b0e2be222b2e45a084329db2304b7e37f1c2c289a9aba9b64b5a837077a3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-11-13T12:52:52Z",
    "title_canon_sha256": "ffabd6df513383c0430b8fc33481e76617ac54e752c5a16b232ac9776a4bd2c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2975",
    "kind": "arxiv",
    "version": 1
  }
}