Pith Number

pith:RQCGEZXN

pith:2012:RQCGEZXNVFQVDLRL27PVHYRNOX

not attested not anchored not stored refs pending

Minimal $N$-Point Diameters and $f$-Best-Packing Constants in $R^d$

A.V. Bondarenko, D.P. Hardin, E.B. Saff

arxiv:1204.4403 v1 · 2012-04-19 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQCGEZXNVFQVDLRL27PVHYRNOX}

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	2026-05-18T03:57:27.593482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c046266eda96151ae2bd7df53e22d75c5bd100ce1d1f7d201e7e1052c4a2cd3

Aliases

arxiv: 1204.4403 · arxiv_version: 1204.4403v1 · doi: 10.48550/arxiv.1204.4403 · pith_short_12: RQCGEZXNVFQV · pith_short_16: RQCGEZXNVFQVDLRL · pith_short_8: RQCGEZXN

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/RQCGEZXNVFQVDLRL27PVHYRNOX \
  | 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: 8c046266eda96151ae2bd7df53e22d75c5bd100ce1d1f7d201e7e1052c4a2cd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aae4f45940dfeead81c90a9a55cad127f237c782a0175b03a033e86d73aa22ee",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-19T16:23:39Z",
    "title_canon_sha256": "29f935e6c943bbe1ee1c1cd87d73e23bb3c3548ee81909ac5bd0cd06265b4d14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4403",
    "kind": "arxiv",
    "version": 1
  }
}