Pith Number

pith:IJIY5DFC

pith:2013:IJIY5DFCFUQV2E3C5CIRVLJMAY

not attested not anchored not stored refs pending

The Fixed Points of the Multivariate Smoothing Transform

Sebastian Mentemeier

arxiv:1309.0733 v3 · 2013-09-03 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJIY5DFCFUQV2E3C5CIRVLJMAY}

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	2026-05-18T02:29:53.231302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42518e8ca22d215d1362e8911aad2c06040e03bdee34804248b59cbaad486509

Aliases

arxiv: 1309.0733 · arxiv_version: 1309.0733v3 · doi: 10.48550/arxiv.1309.0733 · pith_short_12: IJIY5DFCFUQV · pith_short_16: IJIY5DFCFUQV2E3C · pith_short_8: IJIY5DFC

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/IJIY5DFCFUQV2E3C5CIRVLJMAY \
  | 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: 42518e8ca22d215d1362e8911aad2c06040e03bdee34804248b59cbaad486509

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91d2ab2282251935924d6d3198bc388c19c15c31c196701cea49f422b28eac35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-03T16:01:24Z",
    "title_canon_sha256": "0633b5819cb81d61444cfc9c8e2b0d14245b4d0fc00c91beea9be345547bf1be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0733",
    "kind": "arxiv",
    "version": 3
  }
}