Pith Number

pith:KHPKJU3N

pith:2018:KHPKJU3NPNRY7RB4HFBKCTLDP5

not attested not anchored not stored refs pending

On the geometric median of triangular domains and other median type points

Alexei Savvateev, Peter Panov

arxiv:1811.07306 v1 · 2018-11-18 · math.OC · 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{KHPKJU3NPNRY7RB4HFBKCTLDP5}

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	2026-05-18T00:00:28.331198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51dea4d36d7b638fc43c3942a14d637f6619c159977f0e2be0e4c58cd9f4a059

Aliases

arxiv: 1811.07306 · arxiv_version: 1811.07306v1 · doi: 10.48550/arxiv.1811.07306 · pith_short_12: KHPKJU3NPNRY · pith_short_16: KHPKJU3NPNRY7RB4 · pith_short_8: KHPKJU3N

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/KHPKJU3NPNRY7RB4HFBKCTLDP5 \
  | 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: 51dea4d36d7b638fc43c3942a14d637f6619c159977f0e2be0e4c58cd9f4a059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7f30c51a044742c3723d15d0e5f611b2b45e4e16cee7482381d9ecf882479d6",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-11-18T10:15:14Z",
    "title_canon_sha256": "28f2453c06d220998dc893a20bdf6f8cb752dd52340955b753dd71f03f0f16e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07306",
    "kind": "arxiv",
    "version": 1
  }
}