Pith Number

pith:TTDLZGEO

pith:2023:TTDLZGEOLHF32JFJ2VK7OD6VVE

not attested not anchored not stored refs pending

Finite Markov chains and multiple orthogonal polynomials

Am\'ilcar Branquinho, Ana Foulqui\'e-Moreno, Juan EF D\'iaz, Manuel Ma\~nas

arxiv:2308.00182 v4 · 2023-07-31 · math.PR · math-ph · math.CA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTDLZGEOLHF32JFJ2VK7OD6VVE}

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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.

Cited by

1 paper in Pith

General Geronimus Perturbations for Mixed Multiple Orthogonal Polynomials

Receipt and verification

First computed	2026-07-05T08:41:59.510702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cc6bc988e59cbbd24a9d555f70fd5a91650271cbd58f5e0bcf881d135535bb9

Aliases

arxiv: 2308.00182 · arxiv_version: 2308.00182v4 · doi: 10.48550/arxiv.2308.00182 · pith_short_12: TTDLZGEOLHF3 · pith_short_16: TTDLZGEOLHF32JFJ · pith_short_8: TTDLZGEO

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/TTDLZGEOLHF32JFJ2VK7OD6VVE \
  | 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: 9cc6bc988e59cbbd24a9d555f70fd5a91650271cbd58f5e0bcf881d135535bb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41fd1650a49f792e4644497e5f0fcb7a1d826545eb9df4c5e559ad7d199276a5",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-07-31T22:39:08Z",
    "title_canon_sha256": "cd6102376f97fe9fc2b4d709c1183b43646f2f58a317fcf5f45f1a472dc64243"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.00182",
    "kind": "arxiv",
    "version": 4
  }
}