Pith Number

pith:VULPMPBX

pith:2025:VULPMPBXECAQFSWZLLQI75CIBU

not attested not anchored not stored refs pending

Information geometry for types in the large-$n$ limit of random matrices

David Jekel

arxiv:2501.00703 v2 · 2025-01-01 · math.OA · math.FA · math.LO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VULPMPBXECAQFSWZLLQI75CIBU}

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	2026-07-05T11:31:42.380042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad16f63c37208102cad95ae08ff4480d1f03654e8e7dacbc91f0e83ee99f8ff0

Aliases

arxiv: 2501.00703 · arxiv_version: 2501.00703v2 · doi: 10.48550/arxiv.2501.00703 · pith_short_12: VULPMPBXECAQ · pith_short_16: VULPMPBXECAQFSWZ · pith_short_8: VULPMPBX

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/VULPMPBXECAQFSWZLLQI75CIBU \
  | 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: ad16f63c37208102cad95ae08ff4480d1f03654e8e7dacbc91f0e83ee99f8ff0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbb1ea291b159ab1d1da4702276581871a27da8db6ad91f3096392135d088901",
    "cross_cats_sorted": [
      "math.FA",
      "math.LO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2025-01-01T02:27:03Z",
    "title_canon_sha256": "f0e7ac52bac47ae843a6248c0e22384d4820c38782e13698ab3cac9d97abf261"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00703",
    "kind": "arxiv",
    "version": 2
  }
}