Pith Number

pith:ACEWMLWM

pith:2026:ACEWMLWMN2QZZLMHDSFH6L5JZQ

not attested not anchored not stored refs pending

Function-Counting Theory for Low-Dimensional Data Structures

Helmut B\"olcskei, Konstantin H\"aberle

arxiv:2607.01010 v1 · 2026-07-01 · stat.ML · cs.IT · cs.LG · math.CA · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACEWMLWMN2QZZLMHDSFH6L5JZQ}

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	2026-07-02T01:18:25.928723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0089662ecc6ea19cad871c8a7f2fa9cc0321e0445db0d9c59c22e15d540cdbf0

Aliases

arxiv: 2607.01010 · arxiv_version: 2607.01010v1 · doi: 10.48550/arxiv.2607.01010 · pith_short_12: ACEWMLWMN2QZ · pith_short_16: ACEWMLWMN2QZZLMH · pith_short_8: ACEWMLWM

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/ACEWMLWMN2QZZLMHDSFH6L5JZQ \
  | 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: 0089662ecc6ea19cad871c8a7f2fa9cc0321e0445db0d9c59c22e15d540cdbf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d5c2606df01c3fc261d801bb1d8600c4526cb63add6ab5e2efd9fa20f39f2ae",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "math.CA",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-01T14:47:36Z",
    "title_canon_sha256": "ed5e0ef603dc699337d9dc08fad4a34cb9fc295cf252c89a4bba887dd35e7bca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01010",
    "kind": "arxiv",
    "version": 1
  }
}