Pith Number

pith:OVTMF4QB

pith:2018:OVTMF4QBVOJCYXLKODTG4U7GDW

not attested not anchored not stored refs pending

Stability of the Cosine-Sine Functional Equation on amenable groups

Ajebbar Omar, Elqorachi Elhoucien

arxiv:1809.07264 v1 · 2018-09-19 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OVTMF4QBVOJCYXLKODTG4U7GDW}

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	2026-05-18T00:05:20.219956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7566c2f201ab922c5d6a70e66e53e61dae381ac4898132dd2564be249daa7fbe

Aliases

arxiv: 1809.07264 · arxiv_version: 1809.07264v1 · doi: 10.48550/arxiv.1809.07264 · pith_short_12: OVTMF4QBVOJC · pith_short_16: OVTMF4QBVOJCYXLK · pith_short_8: OVTMF4QB

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/OVTMF4QBVOJCYXLKODTG4U7GDW \
  | 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: 7566c2f201ab922c5d6a70e66e53e61dae381ac4898132dd2564be249daa7fbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bca2fe8a0fa4b444070b48845f61bc215b30aa9b516fb31df5555e7d07add39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-09-19T16:03:26Z",
    "title_canon_sha256": "ad3327ae9d9d914c05aab99aa28f4d378d36033e36a69065222a062aaa956786"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07264",
    "kind": "arxiv",
    "version": 1
  }
}