Pith Number

pith:BW6QCJUF

pith:2015:BW6QCJUFFDVJWETQ7DWTENE72F

not attested not anchored not stored refs pending

Linear independence of trigonometric numbers

Arno Berger

arxiv:1504.06652 v1 · 2015-04-24 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BW6QCJUFFDVJWETQ7DWTENE72F}

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	2026-05-18T02:17:52.868219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dbd01268528ea9b1270f8ed32349fd1432c64a89785d2d61da98c920c2db1ba

Aliases

arxiv: 1504.06652 · arxiv_version: 1504.06652v1 · doi: 10.48550/arxiv.1504.06652 · pith_short_12: BW6QCJUFFDVJ · pith_short_16: BW6QCJUFFDVJWETQ · pith_short_8: BW6QCJUF

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/BW6QCJUFFDVJWETQ7DWTENE72F \
  | 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: 0dbd01268528ea9b1270f8ed32349fd1432c64a89785d2d61da98c920c2db1ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bf892ed21399ca8d3b8306dc09dd55caba565800e9853638ca622e83ee8e11b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-24T22:09:01Z",
    "title_canon_sha256": "d6400ef2339bc46adbc37ebabfa510e8c52aaed08eceb15699d33389db23518a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06652",
    "kind": "arxiv",
    "version": 1
  }
}