Pith Number

pith:77RQTON7

pith:2016:77RQTON7DDPHHKFU4HWKDXAA4E

not attested not anchored not stored refs pending

$L_\infty$-estimates for the torsion function and $L_\infty$-growth of semigroups satisfying Gaussian bounds

Hendrik Vogt

arxiv:1611.03676 v3 · 2016-11-11 · math.AP · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77RQTON7DDPHHKFU4HWKDXAA4E}

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	2026-05-18T00:16:09.503651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffe309b9bf18de73a8b4e1eca1dc00e13165b67acf88d6f97ebc7d95df8fedb8

Aliases

arxiv: 1611.03676 · arxiv_version: 1611.03676v3 · doi: 10.48550/arxiv.1611.03676 · pith_short_12: 77RQTON7DDPH · pith_short_16: 77RQTON7DDPHHKFU · pith_short_8: 77RQTON7

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/77RQTON7DDPHHKFU4HWKDXAA4E \
  | 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: ffe309b9bf18de73a8b4e1eca1dc00e13165b67acf88d6f97ebc7d95df8fedb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a06752c23978ae6ad43c89aec4949f44452bc4922e2dcaba227e92441e0d9b14",
    "cross_cats_sorted": [
      "math.FA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-11T12:18:35Z",
    "title_canon_sha256": "141ee49a0855a603c2db20e6c4937e09a2b327386baa76d4f8ce6443bdb90d1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03676",
    "kind": "arxiv",
    "version": 3
  }
}