Pith Number

pith:MB75H2O2

pith:1998:MB75H2O2RKX4XRBW2A4UZ4CI74

not attested not anchored not stored refs pending

Matrix-variate growth-decay models

Arak Mathai Mathai

arxiv:math/9803164 v1 · 1998-03-04 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MB75H2O2RKX4XRBW2A4UZ4CI74}

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	2026-05-18T01:05:34.175890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607fd3e9da8aafcbc436d0394cf048ff0ed0deeb1aabb5a31682f6478af5e40b

Aliases

arxiv: math/9803164 · arxiv_version: math/9803164v1 · doi: 10.48550/arxiv.math/9803164 · pith_short_12: MB75H2O2RKX4 · pith_short_16: MB75H2O2RKX4XRBW · pith_short_8: MB75H2O2

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/MB75H2O2RKX4XRBW2A4UZ4CI74 \
  | 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: 607fd3e9da8aafcbc436d0394cf048ff0ed0deeb1aabb5a31682f6478af5e40b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "709549d7e8e8509487b9da215d75b728b8e65e39d71902932c7a6c6f52a2368b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "1998-03-04T00:00:00Z",
    "title_canon_sha256": "7bb6a60adfd626e91d6e537163ca53a70d327b15035c681c26c31ae113c22091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9803164",
    "kind": "arxiv",
    "version": 1
  }
}