Pith Number

pith:TOFU5ILF

pith:2026:TOFU5ILFBUP3QUPDT6QIDKKEYH

not attested not anchored not stored refs pending

Level-set entropy and sparse randomized embeddings

Konstantin Tikhomirov

arxiv:2607.23017 v1 · 2026-07-25 · math.PR · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOFU5ILFBUP3QUPDT6QIDKKEYH}

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	2026-07-28T00:22:07.733578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b8b4ea1650d1fb851e39fa081a944c1f7076706d89caa522802565ef642fc33

Aliases

arxiv: 2607.23017 · arxiv_version: 2607.23017v1 · doi: 10.48550/arxiv.2607.23017 · pith_short_12: TOFU5ILFBUP3 · pith_short_16: TOFU5ILFBUP3QUPD · pith_short_8: TOFU5ILF

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/TOFU5ILFBUP3QUPDT6QIDKKEYH \
  | 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: 9b8b4ea1650d1fb851e39fa081a944c1f7076706d89caa522802565ef642fc33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "917ad688864df1fbed5ad8b1b0e5ad301229d328ac662dcd43541da605c56a4b",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-25T03:18:37Z",
    "title_canon_sha256": "b8fe9f3e91374a7fa3a1b7c1546f14b7ce93d726ac66828b67d422e84aafcd9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23017",
    "kind": "arxiv",
    "version": 1
  }
}