Pith Number

pith:S4JL7GGU

pith:2026:S4JL7GGUDHBR2OIBXPD5BCIOPE

not attested not anchored not stored refs pending

Positive Bidiagonal Factorizations for Banded Markov Processes

Manuel Ma\~nas

arxiv:2608.00788 v1 · 2026-08-01 · math.CA · math-ph · math.MP · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4JL7GGUDHBR2OIBXPD5BCIOPE}

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	2026-08-04T01:55:09.096826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9712bf98d419c31d3901bbc7d0890e7912543354755c8ef6953d5c744276508f

Aliases

arxiv: 2608.00788 · arxiv_version: 2608.00788v1 · doi: 10.48550/arxiv.2608.00788 · pith_short_12: S4JL7GGUDHBR · pith_short_16: S4JL7GGUDHBR2OIB · pith_short_8: S4JL7GGU

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/S4JL7GGUDHBR2OIBXPD5BCIOPE \
  | 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: 9712bf98d419c31d3901bbc7d0890e7912543354755c8ef6953d5c744276508f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d06521a8a68aa83a2af994ce49fc5ad437c92182ebb298df55b0d386f46c00f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-08-01T17:39:04Z",
    "title_canon_sha256": "51f02b8288f8481e0e2634c9586600b38f2afa69181d505183f8bf5f426b32fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00788",
    "kind": "arxiv",
    "version": 1
  }
}