Pith Number

pith:4ZURFTLQ

pith:2017:4ZURFTLQBHA5T7PRJOZL2QKHPX

not attested not anchored not stored refs pending

Binary Parseval frames from group orbits

Bernhard G. Bodmann, Jacob E. McLaney, Micah G. Bullock, Robert P. Mendez, Zachery J. Baker

arxiv:1712.04424 v1 · 2017-12-12 · math.RT · math.CO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZURFTLQBHA5T7PRJOZL2QKHPX}

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	2026-05-18T00:28:08.062036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e66912cd7009c1d9fdf14bb2bd41477df2ceeb5ba33b3d94bba07fdfa94e091f

Aliases

arxiv: 1712.04424 · arxiv_version: 1712.04424v1 · doi: 10.48550/arxiv.1712.04424 · pith_short_12: 4ZURFTLQBHA5 · pith_short_16: 4ZURFTLQBHA5T7PR · pith_short_8: 4ZURFTLQ

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/4ZURFTLQBHA5T7PRJOZL2QKHPX \
  | 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: e66912cd7009c1d9fdf14bb2bd41477df2ceeb5ba33b3d94bba07fdfa94e091f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2da193681784d945747c190674555fb237965c9ff8d632a111db84d559e014f0",
    "cross_cats_sorted": [
      "math.CO",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-12-12T18:34:37Z",
    "title_canon_sha256": "5aa987d16fdb97c6e76e433855f4a5b47caa49bd9ef58eaba330446a76ad186d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04424",
    "kind": "arxiv",
    "version": 1
  }
}