Pith Number

pith:PI272MMU

pith:2019:PI272MMUU626V2LX3UDP7DLSAH

not attested not anchored not stored refs pending

Characterizing compact families via the Laplace transform

Mateusz Krukowski

arxiv:1905.05152 v1 · 2019-05-13 · 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{PI272MMUU626V2LX3UDP7DLSAH}

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	2026-05-17T23:46:22.395192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a35fd3194a7b5eae977dd06ff8d7201dc9c5218febe602181df400c29406277

Aliases

arxiv: 1905.05152 · arxiv_version: 1905.05152v1 · doi: 10.48550/arxiv.1905.05152 · pith_short_12: PI272MMUU626 · pith_short_16: PI272MMUU626V2LX · pith_short_8: PI272MMU

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/PI272MMUU626V2LX3UDP7DLSAH \
  | 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: 7a35fd3194a7b5eae977dd06ff8d7201dc9c5218febe602181df400c29406277

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ac35905ae84bf556288cce8db50b9b0820452547e195dff421b56cd7689cc46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-13T17:10:00Z",
    "title_canon_sha256": "90b76394d7dc745fd416cfbdd1b9ee281d5032e9f3866d37413cfb8055fa0a0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05152",
    "kind": "arxiv",
    "version": 1
  }
}