Pith Number

pith:Y5EOG7MK

pith:2025:Y5EOG7MKWW2G7S6BUDRFQXXZ74

not attested not anchored not stored refs pending

On the $(k,\ell)$-multiset anonymity measure for social graphs

Alejandro Estrada-Moreno, Dorota Kuziak, Elena Fern\'andez, Ismael G. Yero, Manuel Mu\~noz-M\'arquez, Rolando Trujillo-Rasua

arxiv:2507.08433 v1 · 2025-07-11 · math.CO · cs.IT · 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{Y5EOG7MKWW2G7S6BUDRFQXXZ74}

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	2026-07-05T11:35:38.192386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c748e37d8ab5b46fcbc1a0e2585ef9ff3037a5f150b60045c904ad3769f50b8b

Aliases

arxiv: 2507.08433 · arxiv_version: 2507.08433v1 · doi: 10.48550/arxiv.2507.08433 · pith_short_12: Y5EOG7MKWW2G · pith_short_16: Y5EOG7MKWW2G7S6B · pith_short_8: Y5EOG7MK

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/Y5EOG7MKWW2G7S6BUDRFQXXZ74 \
  | 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: c748e37d8ab5b46fcbc1a0e2585ef9ff3037a5f150b60045c904ad3769f50b8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3672ed723fa7a9c8a96707440da20efb504966e231f047208b6a542b31b3c2b3",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-11T09:19:58Z",
    "title_canon_sha256": "2000c69200f8567367556387854b801ef0602fb51c3dd5f6a941fe309fe2002b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08433",
    "kind": "arxiv",
    "version": 1
  }
}