Pith Number

pith:WUVMRZYK

pith:2016:WUVMRZYKUQRLDZPAJHOYNK43UP

not attested not anchored not stored refs pending

Fast approximation algorithms for $p$-centres in large $\delta$-hyperbolic graphs

Iraj Saniee, Katherine Edwards, W. Sean Kennedy

arxiv:1604.07359 v1 · 2016-04-25 · cs.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUVMRZYKUQRLDZPAJHOYNK43UP}

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	2026-05-18T01:15:57.197462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b52ac8e70aa422b1e5e049dd86ab9ba3d01179b24f7e120693c3bc24fefa4271

Aliases

arxiv: 1604.07359 · arxiv_version: 1604.07359v1 · doi: 10.48550/arxiv.1604.07359 · pith_short_12: WUVMRZYKUQRL · pith_short_16: WUVMRZYKUQRLDZPA · pith_short_8: WUVMRZYK

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/WUVMRZYKUQRLDZPAJHOYNK43UP \
  | 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: b52ac8e70aa422b1e5e049dd86ab9ba3d01179b24f7e120693c3bc24fefa4271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a83a3e9f144d1187507897517bb92ae57582603926b536639398c8be0d951d24",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-04-25T18:39:25Z",
    "title_canon_sha256": "56d66be667c25fb0d10438612d09d17ea812a0166d27d8f89f0035d0b86a9847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07359",
    "kind": "arxiv",
    "version": 1
  }
}