Pith Number

pith:W2ZTMWKY

pith:2026:W2ZTMWKYR4MNZVY6K7HZFLP6A7

not attested not anchored not stored refs pending

Improved Algorithms and Lower Bounds for Parametrized Metrical Service Systems

Junhao Gan, Seeun William Umboh, Xiao Sun

arxiv:2607.07098 v1 · 2026-07-08 · 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{W2ZTMWKYR4MNZVY6K7HZFLP6A7}

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	2026-07-09T01:20:14.414650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6b33659588f18dcd71e57cf92adfe07c7827e69ea847d02d61545298a2fbb48

Aliases

arxiv: 2607.07098 · arxiv_version: 2607.07098v1 · doi: 10.48550/arxiv.2607.07098 · pith_short_12: W2ZTMWKYR4MN · pith_short_16: W2ZTMWKYR4MNZVY6 · pith_short_8: W2ZTMWKY

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/W2ZTMWKYR4MNZVY6K7HZFLP6A7 \
  | 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: b6b33659588f18dcd71e57cf92adfe07c7827e69ea847d02d61545298a2fbb48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3566d0b3670b9cb195fb4fa0e3e745fa559d0ed4ec3c6d90d54e9364d17b4dd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-08T07:32:26Z",
    "title_canon_sha256": "928788d1a019bad5f65c5083af6a8d3132c9e385d98d8be6d9dc4fa09d7b7fb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07098",
    "kind": "arxiv",
    "version": 1
  }
}