Pith Number

pith:G6X4AECH

pith:2016:G6X4AECHFWTBNFWZ2LQIOQLPKS

not attested not anchored not stored refs pending

On yielding and jointly yielding entries of Euclidean distance matrices

A. Y. Alfakih

arxiv:1609.07055 v2 · 2016-09-22 · 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{G6X4AECHFWTBNFWZ2LQIOQLPKS}

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	2026-05-18T00:11:23.995745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37afc010472da61696d9d2e087416f54940a8a0d98a4033a3f9af4b8a3764f3a

Aliases

arxiv: 1609.07055 · arxiv_version: 1609.07055v2 · doi: 10.48550/arxiv.1609.07055 · pith_short_12: G6X4AECHFWTB · pith_short_16: G6X4AECHFWTBNFWZ · pith_short_8: G6X4AECH

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/G6X4AECHFWTBNFWZ2LQIOQLPKS \
  | 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: 37afc010472da61696d9d2e087416f54940a8a0d98a4033a3f9af4b8a3764f3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "592aa6f55d6cef85270a844c57e7b8426590d9c9c46d17321e02b5703bf00e12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-09-22T16:35:23Z",
    "title_canon_sha256": "7631abab132f7772d92ed220276022b8400f83b5861a23ef85330578712c5f2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07055",
    "kind": "arxiv",
    "version": 2
  }
}