Pith Number

pith:BB75HEBF

pith:2025:BB75HEBFMYWMWE2YB5NGTHMZCV

not attested not anchored not stored refs pending

Tridiagonal random matrices, an analytic approach

Ionel Popescu, Lucas Babet

arxiv:2512.03628 v2 · 2025-12-03 · math.PR · math.OA · 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{BB75HEBFMYWMWE2YB5NGTHMZCV}

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	2026-07-28T01:22:25.979026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

087fd39025662ccb13580f5a699d99156d7a1fb6646f58d4365fdcbf67986757

Aliases

arxiv: 2512.03628 · arxiv_version: 2512.03628v2 · doi: 10.48550/arxiv.2512.03628 · pith_short_12: BB75HEBFMYWM · pith_short_16: BB75HEBFMYWMWE2Y · pith_short_8: BB75HEBF

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/BB75HEBFMYWMWE2YB5NGTHMZCV \
  | 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: 087fd39025662ccb13580f5a699d99156d7a1fb6646f58d4365fdcbf67986757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcc8eb8b6f55a57cb5c0f5d4b2aed90a8f2b4a85d47158a221c5725f581040e6",
    "cross_cats_sorted": [
      "math.OA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-12-03T10:06:18Z",
    "title_canon_sha256": "cd8db34ae88fca308fba1a7b0e3ce134c01dad86958b9a4c0972c6ab728e5240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.03628",
    "kind": "arxiv",
    "version": 2
  }
}