Pith Number

pith:JNMN7IZB

pith:2026:JNMN7IZBBSKBJFG2WIHMJYBBA4

not attested not anchored not stored refs pending

EdgeRefine: Privacy-Utility Balance for Graphs via Jaccard Sampling under Edge Differential Privacy

Mingjun Wang, Muzhi Liu, Qiao Liu, Wenxiu Ding, Yifan Zhao, Zheng Yan

arxiv:2607.08659 v1 · 2026-07-09 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNMN7IZBBSKBJFG2WIHMJYBBA4}

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	2026-07-10T01:19:56.821885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b58dfa3210c941494dab20ec4e021071970059e369cc9f6e030651dd5ae57f8

Aliases

arxiv: 2607.08659 · arxiv_version: 2607.08659v1 · doi: 10.48550/arxiv.2607.08659 · pith_short_12: JNMN7IZBBSKB · pith_short_16: JNMN7IZBBSKBJFG2 · pith_short_8: JNMN7IZB

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/JNMN7IZBBSKBJFG2WIHMJYBBA4 \
  | 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: 4b58dfa3210c941494dab20ec4e021071970059e369cc9f6e030651dd5ae57f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86d808e2fc69bc2c08aefb07a030759040fab933fdad845a567a3ff9054b6505",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-09T16:28:05Z",
    "title_canon_sha256": "3360cd1e56e2fd8918efc646184ab6445d11cef31499e42d81c7373cc304d59f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08659",
    "kind": "arxiv",
    "version": 1
  }
}