Pith Number

pith:PUAI6J4W

pith:2012:PUAI6J4WFTJX43NNLQOYFT73NP

not attested not anchored not stored refs pending

Remarks on the speed of convergence of mixing coefficients and applications

Martial Longla

arxiv:1210.5673 v2 · 2012-10-21 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUAI6J4WFTJX43NNLQOYFT73NP}

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	2026-05-18T03:34:59.040706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d008f27962cd37e6dad5c1d82cffb6bf9a3c53c546cdea077ef5a0c24062f06

Aliases

arxiv: 1210.5673 · arxiv_version: 1210.5673v2 · doi: 10.48550/arxiv.1210.5673 · pith_short_12: PUAI6J4WFTJX · pith_short_16: PUAI6J4WFTJX43NN · pith_short_8: PUAI6J4W

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/PUAI6J4WFTJX43NNLQOYFT73NP \
  | 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: 7d008f27962cd37e6dad5c1d82cffb6bf9a3c53c546cdea077ef5a0c24062f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6308a40c5064a092b6b8ec11f8c61271a972b05d147f22e6eb2f9940ce01682",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-21T01:24:31Z",
    "title_canon_sha256": "855e8223d5ce9b46eb6e03e0c1daf1e8516662f24789dcaf69b76f83e18f6eba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5673",
    "kind": "arxiv",
    "version": 2
  }
}