Pith Number

pith:7FZ4YP3J

pith:2025:7FZ4YP3JFLPCXY2S7S4QEVKGQR

not attested not anchored not stored refs pending

Additive functionals of Harmonic samples: the conditioned Dickman regime

Arturo Jaramillo, Victor Bernal Ramirez

arxiv:2512.02926 v2 · 2025-12-02 · math.NT · 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{7FZ4YP3JFLPCXY2S7S4QEVKGQR}

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	2026-06-09T02:07:14.087199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f973cc3f692ade2be352fcb9025546845bb2c12442cddf5dc4e1c1d3c1c52614

Aliases

arxiv: 2512.02926 · arxiv_version: 2512.02926v2 · doi: 10.48550/arxiv.2512.02926 · pith_short_12: 7FZ4YP3JFLPC · pith_short_16: 7FZ4YP3JFLPCXY2S · pith_short_8: 7FZ4YP3J

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/7FZ4YP3JFLPCXY2S7S4QEVKGQR \
  | 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: f973cc3f692ade2be352fcb9025546845bb2c12442cddf5dc4e1c1d3c1c52614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3397b71eb93ef31e0e6fa953d0782790fd692082f1f0665c8206b7f2f6761086",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-12-02T16:46:59Z",
    "title_canon_sha256": "609b50ece5fcb64c4a025f3a418ce4769ca7c40be6f0c6578d10dde064332fb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.02926",
    "kind": "arxiv",
    "version": 2
  }
}