Pith Number

pith:PP4RCMBE

pith:2014:PP4RCMBEXDK5BLMIAKBWODF2B4

not attested not anchored not stored refs pending

Amenable groups and bounded $\Delta$-weak approximate identities

Mohammad Fozouni

arxiv:1404.2262 v1 · 2014-04-08 · 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{PP4RCMBEXDK5BLMIAKBWODF2B4}

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	2026-05-18T02:54:38.175454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf9113024b8d5d0ad880283670cba0f3ea16313a24d69f02e30b266c7eda24d

Aliases

arxiv: 1404.2262 · arxiv_version: 1404.2262v1 · doi: 10.48550/arxiv.1404.2262 · pith_short_12: PP4RCMBEXDK5 · pith_short_16: PP4RCMBEXDK5BLMI · pith_short_8: PP4RCMBE

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/PP4RCMBEXDK5BLMIAKBWODF2B4 \
  | 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: 7bf9113024b8d5d0ad880283670cba0f3ea16313a24d69f02e30b266c7eda24d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faaf74afe814c3ed1c84b52e4cfff25f84a0f50a897d3db17dfc7cb54d381ea7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-04-08T19:50:16Z",
    "title_canon_sha256": "7c58a2ce05f18b29ec029ae9e8203598f168308f6fffc8e79b008e96322232cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2262",
    "kind": "arxiv",
    "version": 1
  }
}