Pith Number

pith:7MZHBKZM

pith:2025:7MZHBKZM6X4JUI6E6ULIHTGRHJ

not attested not anchored not stored refs pending

The fluctuations of the mod p rank of triangular matrices

Andr\'as M\'esz\'aros

arxiv:2508.08788 v1 · 2025-08-12 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MZHBKZM6X4JUI6E6ULIHTGRHJ}

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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

Persistence diagrams of random triangular matrices over finite fields

Receipt and verification

First computed	2026-07-05T11:52:34.204066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb3270ab2cf5f89a23c4f51683ccd13a644e4017ffe4af2269a6b0298a9ebbb0

Aliases

arxiv: 2508.08788 · arxiv_version: 2508.08788v1 · doi: 10.48550/arxiv.2508.08788 · pith_short_12: 7MZHBKZM6X4J · pith_short_16: 7MZHBKZM6X4JUI6E · pith_short_8: 7MZHBKZM

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/7MZHBKZM6X4JUI6E6ULIHTGRHJ \
  | 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: fb3270ab2cf5f89a23c4f51683ccd13a644e4017ffe4af2269a6b0298a9ebbb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1356ed36579c5a0e9de9c3212da5a8d37474ea139bbfeb5377c217c01db99f4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-12T09:41:51Z",
    "title_canon_sha256": "85f9bc08deef381fe4e1f741286355483476c803a57d37c288515fd8935166d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.08788",
    "kind": "arxiv",
    "version": 1
  }
}