Pith Number

pith:LGPZRLUM

pith:2025:LGPZRLUM7K6OMXKXNRHAKFOGHB

not attested not anchored not stored refs pending

When Distances Lie: Euclidean Embeddings in the Presence of Outliers and Distance Violations

Fedor V. Fomin, Matthias Bentert, M. S. Ramanujan, Petr A. Golovach, Saket Saurabh

arxiv:2503.19093 v1 · 2025-03-24 · cs.CG · cs.DM · 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{LGPZRLUM7K6OMXKXNRHAKFOGHB}

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	2026-07-05T10:38:49.325248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

599f98ae8cfabce65d576c4e0515c63870caf0c4b254ca96e33abea11f921d6e

Aliases

arxiv: 2503.19093 · arxiv_version: 2503.19093v1 · doi: 10.48550/arxiv.2503.19093 · pith_short_12: LGPZRLUM7K6O · pith_short_16: LGPZRLUM7K6OMXKX · pith_short_8: LGPZRLUM

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/LGPZRLUM7K6OMXKXNRHAKFOGHB \
  | 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: 599f98ae8cfabce65d576c4e0515c63870caf0c4b254ca96e33abea11f921d6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f858b5e6389576b76462c02da1bcdaf6d5b13cf7420ba3ff09c08bd6911e669",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2025-03-24T19:25:53Z",
    "title_canon_sha256": "141974cb688cc466548cb8be40cb1da2932a5bb69aee7b575d732cb2c89f8c45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.19093",
    "kind": "arxiv",
    "version": 1
  }
}