Pith Number

pith:MPCXBPQB

pith:2009:MPCXBPQBNRORRHZSKNA6RNUQLJ

not attested not anchored not stored refs pending

Hierarchical neighbor graphs: A low stretch connected structure for points in Euclidean space

Achal Premi, Adit Madan, Amitabha Bagchi

arxiv:0903.0742 v3 · 2009-03-04 · cs.NI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPCXBPQBNRORRHZSKNA6RNUQLJ}

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	2026-05-18T01:31:53.723914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c570be016c5d189f325341e8b6905a626ef3bfe0461ea45f83d2625b3b3275

Aliases

arxiv: 0903.0742 · arxiv_version: 0903.0742v3 · doi: 10.48550/arxiv.0903.0742 · pith_short_12: MPCXBPQBNROR · pith_short_16: MPCXBPQBNRORRHZS · pith_short_8: MPCXBPQB

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/MPCXBPQBNRORRHZSKNA6RNUQLJ \
  | 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: 63c570be016c5d189f325341e8b6905a626ef3bfe0461ea45f83d2625b3b3275

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b928878618215198e7debe570ea61817401ff2d99eb958d3f566eb5cbf54f50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2009-03-04T12:03:41Z",
    "title_canon_sha256": "5018740f53315838b51ddf0a829c0ddb396fdb44a25ed9a68a5c931317f7e05b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0742",
    "kind": "arxiv",
    "version": 3
  }
}