Pith Number

pith:M2CKRWUE

pith:2015:M2CKRWUEQJBNTSOWUEVWTYC22P

not attested not anchored not stored refs pending

The Triangular Bi-Pyramid Minimizes a Range of Power Law Potentials

Richard Evan Schwartz

arxiv:1512.04628 v3 · 2015-12-15 · 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{M2CKRWUEQJBNTSOWUEVWTYC22P}

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	2026-05-18T01:08:32.391597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6684a8da848242d9c9d6a12b69e05ad3d9ba7dfd99537a23965f50d5bea78e35

Aliases

arxiv: 1512.04628 · arxiv_version: 1512.04628v3 · doi: 10.48550/arxiv.1512.04628 · pith_short_12: M2CKRWUEQJBN · pith_short_16: M2CKRWUEQJBNTSOW · pith_short_8: M2CKRWUE

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/M2CKRWUEQJBNTSOWUEVWTYC22P \
  | 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: 6684a8da848242d9c9d6a12b69e05ad3d9ba7dfd99537a23965f50d5bea78e35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50ca7f9e65f908c980d5492fe0d6982cc5ef8e61bb63cb528b92ec421af5863a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-12-15T02:32:25Z",
    "title_canon_sha256": "1f0da5ab1cb017a688614e1a97a5797dc708bbe47479f7740dbf70f65cade8cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04628",
    "kind": "arxiv",
    "version": 3
  }
}