Pith Number

pith:DKBQZZUY

pith:2024:DKBQZZUYNCJBI3UYFK4RWL2IT6

not attested not anchored not stored refs pending

On the determinant in Bray-Moore's TAP complexity formula

David Belius, Francesco Concetti, Giuseppe Genovese

arxiv:2401.08529 v1 · 2024-01-16 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKBQZZUYNCJBI3UYFK4RWL2IT6}

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.

Cited by

1 paper in Pith

Variational formula for the logarithmic potential of free additive convolutions

Receipt and verification

First computed	2026-07-05T07:34:13.160798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a830ce6986892146e982ab91b2f489fae1462aa6ad0c5fe6814e74b21175ffd

Aliases

arxiv: 2401.08529 · arxiv_version: 2401.08529v1 · doi: 10.48550/arxiv.2401.08529 · pith_short_12: DKBQZZUYNCJB · pith_short_16: DKBQZZUYNCJBI3UY · pith_short_8: DKBQZZUY

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/DKBQZZUYNCJBI3UYFK4RWL2IT6 \
  | 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: 1a830ce6986892146e982ab91b2f489fae1462aa6ad0c5fe6814e74b21175ffd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd22e16fe82b4a4c86557b0d685038d90164a03034af345347158a36971a9c2b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-01-16T17:47:37Z",
    "title_canon_sha256": "274fb26c5479651e938af0b5e3e99a201bff6fe270a3813bce5511fba0b0a153"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.08529",
    "kind": "arxiv",
    "version": 1
  }
}