Pith Number

pith:CGPFE7HO

pith:2021:CGPFE7HOLZGROM6SCAG43AR65G

not attested not anchored not stored refs pending

Optimal Fully Dynamic $k$-Centers Clustering

Hossein Esfandiari, MohammadHossein Bateni, Rajesh Jayaram, Vahab Mirrokni

arxiv:2112.07050 v1 · 2021-12-13 · 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{CGPFE7HOLZGROM6SCAG43AR65G}

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	2026-07-05T03:40:20.436932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

119e527cee5e4d1733d2100dcd823ee98ed743b80d8b5f3b405bbd060a311a7a

Aliases

arxiv: 2112.07050 · arxiv_version: 2112.07050v1 · doi: 10.48550/arxiv.2112.07050 · pith_short_12: CGPFE7HOLZGR · pith_short_16: CGPFE7HOLZGROM6S · pith_short_8: CGPFE7HO

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/CGPFE7HOLZGROM6SCAG43AR65G \
  | 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: 119e527cee5e4d1733d2100dcd823ee98ed743b80d8b5f3b405bbd060a311a7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7476fca94cbef6de8062f266e098f57da041209e7832efe861ba58097a71185b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-12-13T22:29:23Z",
    "title_canon_sha256": "068779bde2fe9c0e0c29fc6e0e3df5a11449e12a5746187ddd6de876f7fc5c4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.07050",
    "kind": "arxiv",
    "version": 1
  }
}