Pith Number

pith:2JKL3UKW

pith:2012:2JKL3UKWL3DPXR4YB6SJCCZHAB

not attested not anchored not stored refs pending

On moments-preserving cosine families and semigroups in $C[0,1]$

Adam Bobrowski, Delio Mugnolo

arxiv:1212.4416 v1 · 2012-12-18 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2JKL3UKWL3DPXR4YB6SJCCZHAB}

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	2026-05-18T03:09:22.600654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d254bdd1565ec6fbc7980fa4910b27005b2cdd78089ef5384c069801527ea290

Aliases

arxiv: 1212.4416 · arxiv_version: 1212.4416v1 · doi: 10.48550/arxiv.1212.4416 · pith_short_12: 2JKL3UKWL3DP · pith_short_16: 2JKL3UKWL3DPXR4Y · pith_short_8: 2JKL3UKW

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/2JKL3UKWL3DPXR4YB6SJCCZHAB \
  | 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: d254bdd1565ec6fbc7980fa4910b27005b2cdd78089ef5384c069801527ea290

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "696af51e730d5382ff37e3ec22c752021e58c129521f0d33d8ed8233c0db8ba2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-18T16:37:02Z",
    "title_canon_sha256": "3fa7e359a7d474623c3af6b4e02e77222497364faec4d9361ac7658da4520b60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4416",
    "kind": "arxiv",
    "version": 1
  }
}