Pith. sign in
Pith Number

pith:PDZNLWOS

pith:2024:PDZNLWOSJLIUYYKJY5ZRMDWDTR
not attested not anchored not stored refs pending

Limit points of uniform arithmetic bass notes

Bram Petri, Will Hide

arxiv:2412.15111 v1 · 2024-12-19 · math.SP · math.DG · math.GT · math.NT · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PDZNLWOSJLIUYYKJY5ZRMDWDTR}

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

Receipt and verification
First computed 2026-07-05T09:51:58.058260Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

78f2d5d9d24ad14c6149c773160ec39c5c961808666406f0f8f51aa4daa9d3e2

Aliases

arxiv: 2412.15111 · arxiv_version: 2412.15111v1 · doi: 10.48550/arxiv.2412.15111 · pith_short_12: PDZNLWOSJLIU · pith_short_16: PDZNLWOSJLIUYYKJ · pith_short_8: PDZNLWOS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PDZNLWOSJLIUYYKJY5ZRMDWDTR \
  | 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: 78f2d5d9d24ad14c6149c773160ec39c5c961808666406f0f8f51aa4daa9d3e2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d321f655dbd8f1d6df4a8a9538730a234abb00967c486eb46fba242fb80f53ba",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT",
      "math.NT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-12-19T17:54:26Z",
    "title_canon_sha256": "a6e2dee7c065df8dd1eb4426401f38dbf55b723445a9ce5cecc0a0aea0d1835d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15111",
    "kind": "arxiv",
    "version": 1
  }
}