Pith Number

pith:7J6G5RQ5

pith:2015:7J6G5RQ5XFGC7DSI72CSY5ICOB

not attested not anchored not stored refs pending

On two refinements of the bounded weak approximate identities

Mohammad Fozouni, Raziyeh Farrokhzad

arxiv:1507.05884 v3 · 2015-07-21 · 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{7J6G5RQ5XFGC7DSI72CSY5ICOB}

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	2026-05-17T23:58:05.962809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa7c6ec61db94c2f8e48fe852c7502704de25b7486a41c341eee2e97455b5e28

Aliases

arxiv: 1507.05884 · arxiv_version: 1507.05884v3 · doi: 10.48550/arxiv.1507.05884 · pith_short_12: 7J6G5RQ5XFGC · pith_short_16: 7J6G5RQ5XFGC7DSI · pith_short_8: 7J6G5RQ5

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/7J6G5RQ5XFGC7DSI72CSY5ICOB \
  | 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: fa7c6ec61db94c2f8e48fe852c7502704de25b7486a41c341eee2e97455b5e28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc3c172a9f15812bfba789ffe9c82cac0e8a977e74aa95a6fa3ee6ba6ae5085e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-21T15:59:45Z",
    "title_canon_sha256": "b1de5a9ad3e7a35c8cca3eb908acb52077d21ce385b8a294837af3c6ef521041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05884",
    "kind": "arxiv",
    "version": 3
  }
}