Pith Number

pith:MMPECMQ7

pith:2017:MMPECMQ7NI7ZXSU4QEHPOBWY3W

not attested not anchored not stored refs pending

A quantified Tauberian theorem and local decay of $C_0$-semigroups

Reinhard Stahn

arxiv:1705.03641 v1 · 2017-05-10 · 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{MMPECMQ7NI7ZXSU4QEHPOBWY3W}

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	2026-05-18T00:44:43.356203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

631e41321f6a3f9bca9c810ef706d8ddadd0fd6581d41f8c7a306a10347bbfe1

Aliases

arxiv: 1705.03641 · arxiv_version: 1705.03641v1 · doi: 10.48550/arxiv.1705.03641 · pith_short_12: MMPECMQ7NI7Z · pith_short_16: MMPECMQ7NI7ZXSU4 · pith_short_8: MMPECMQ7

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/MMPECMQ7NI7ZXSU4QEHPOBWY3W \
  | 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: 631e41321f6a3f9bca9c810ef706d8ddadd0fd6581d41f8c7a306a10347bbfe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05084aade1d0cc0f63a35751e2bb5982476be24ff4899ef137d40d1941837c2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-10T07:48:48Z",
    "title_canon_sha256": "bef89c02a27ebf563f06b4ab63e5fad655ed8bfb08a0c1eb88f6115799403e4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03641",
    "kind": "arxiv",
    "version": 1
  }
}