Pith Number

pith:6T23A5CX

pith:2006:6T23A5CXCFLDRT3DBQI4PVMCVT

not attested not anchored not stored refs pending

Experimental study of energy-minimizing point configurations on spheres

Achill Schuermann, Brandon Ballinger, Elizabeth Kelly, Grigoriy Blekherman, Henry Cohn, Noah Giansiracusa

arxiv:math/0611451 v3 · 2006-11-15 · 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{6T23A5CXCFLDRT3DBQI4PVMCVT}

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	2026-05-18T04:10:37.454222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4f5b07457115638cf630c11c7d582acfaaf424b30610d6c2646a33706e85e52

Aliases

arxiv: math/0611451 · arxiv_version: math/0611451v3 · doi: 10.48550/arxiv.math/0611451 · pith_short_12: 6T23A5CXCFLD · pith_short_16: 6T23A5CXCFLDRT3D · pith_short_8: 6T23A5CX

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/6T23A5CXCFLDRT3DBQI4PVMCVT \
  | 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: f4f5b07457115638cf630c11c7d582acfaaf424b30610d6c2646a33706e85e52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbee1923827be8aef4bbb8b74ba6e9aa4cbe7a8f523e47c2906c35dcf38e3057",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2006-11-15T07:10:33Z",
    "title_canon_sha256": "8e44667dc324b7eed4a7686fd03e91662af759789cb3fe801c5a58c3f55a77a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611451",
    "kind": "arxiv",
    "version": 3
  }
}