Pith Number

pith:FFCBZX6M

pith:2021:FFCBZX6MRVKTSVRH7MZFZXRGV7

not attested not anchored not stored refs pending

Optimal Point Sets Determining Few Distinct Angles

Charles Wolf, Ethan Pesikoff, Eyvindur A. Palsson, Henry L. Fleischmann, Steven J. Miller

arxiv:2108.12034 v2 · 2021-08-26 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFCBZX6MRVKTSVRH7MZFZXRGV7}

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	2026-07-05T05:06:52.046915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29441cdfcc8d55395627fb325cde26afd755ee2b6fa7c89ee45e88c670ffa504

Aliases

arxiv: 2108.12034 · arxiv_version: 2108.12034v2 · doi: 10.48550/arxiv.2108.12034 · pith_short_12: FFCBZX6MRVKT · pith_short_16: FFCBZX6MRVKTSVRH · pith_short_8: FFCBZX6M

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/FFCBZX6MRVKTSVRH7MZFZXRGV7 \
  | 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: 29441cdfcc8d55395627fb325cde26afd755ee2b6fa7c89ee45e88c670ffa504

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a1ffc8bf513074848ec2ffe22f0ce04c4f0e0815ebc03c6b843bbd33b4ead0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-08-26T21:00:52Z",
    "title_canon_sha256": "a3ef2e08c0a3610a51df96aac8bee5456a2a28725f4ca2f8d9c082b10020f0d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.12034",
    "kind": "arxiv",
    "version": 2
  }
}