Pith Number

pith:2BJQOX7Q

pith:2017:2BJQOX7QT6MKEQ6DUB7POCMT75

not attested not anchored not stored refs pending

On the Operator-valued $\mu$-cosine functions

Bouikhalene Belaid, Elqorachi Elhoucien

arxiv:1701.07229 v1 · 2017-01-25 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BJQOX7QT6MKEQ6DUB7POCMT75}

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	2026-05-18T00:52:07.119891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d053075ff09f98a243c3a07ef70993ff4da1d46ed45906ee1d82bb4f318826b1

Aliases

arxiv: 1701.07229 · arxiv_version: 1701.07229v1 · doi: 10.48550/arxiv.1701.07229 · pith_short_12: 2BJQOX7QT6MK · pith_short_16: 2BJQOX7QT6MKEQ6D · pith_short_8: 2BJQOX7Q

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/2BJQOX7QT6MKEQ6DUB7POCMT75 \
  | 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: d053075ff09f98a243c3a07ef70993ff4da1d46ed45906ee1d82bb4f318826b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cffe00690826426964b740bd27f7e635c326ff75193cfdd626f667729b3a41fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-01-25T09:49:39Z",
    "title_canon_sha256": "7253e1654ad10954528891764209d3acd4ee4e77e46716898d943f0d2eea23b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07229",
    "kind": "arxiv",
    "version": 1
  }
}