Pith Number

pith:QPZG7I2H

pith:2014:QPZG7I2H4J6UEXTOL3LUK24PON

not attested not anchored not stored refs pending

On cosine families close to scalar cosine families

Wojciech Chojnacki

arxiv:1411.0854 v5 · 2014-11-04 · 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{QPZG7I2H4J6UEXTOL3LUK24PON}

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	2026-05-18T01:32:50.667517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83f26fa347e27d425e6e5ed7456b8f734eb8289b3bdf6d1a1175babbcba4fa53

Aliases

arxiv: 1411.0854 · arxiv_version: 1411.0854v5 · doi: 10.48550/arxiv.1411.0854 · pith_short_12: QPZG7I2H4J6U · pith_short_16: QPZG7I2H4J6UEXTO · pith_short_8: QPZG7I2H

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/QPZG7I2H4J6UEXTOL3LUK24PON \
  | 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: 83f26fa347e27d425e6e5ed7456b8f734eb8289b3bdf6d1a1175babbcba4fa53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "289d06f9a0382b3f50d4c5b62a5eca41189164acdd4df054d5b0f3d2081eaf99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-11-04T10:40:43Z",
    "title_canon_sha256": "3dbae2c01773e4f1645da9d10a7f590c9c04d6b3634ded89847cb84ca6828a6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0854",
    "kind": "arxiv",
    "version": 5
  }
}