Pith Number

pith:7UMSRHNP

pith:2025:7UMSRHNPNKBQUMD3ICYXB5PZ4Q

not attested not anchored not stored refs pending

A note on Global Positioning System (GPS) and Euclidean distance matrices

A. Y. Alfakih

arxiv:2507.04358 v1 · 2025-07-06 · 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{7UMSRHNPNKBQUMD3ICYXB5PZ4Q}

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	2026-07-05T11:32:46.376244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd19289daf6a830a307b40b170f5f9e4336712292fc9e424c17337bc314e1bef

Aliases

arxiv: 2507.04358 · arxiv_version: 2507.04358v1 · doi: 10.48550/arxiv.2507.04358 · pith_short_12: 7UMSRHNPNKBQ · pith_short_16: 7UMSRHNPNKBQUMD3 · pith_short_8: 7UMSRHNP

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/7UMSRHNPNKBQUMD3ICYXB5PZ4Q \
  | 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: fd19289daf6a830a307b40b170f5f9e4336712292fc9e424c17337bc314e1bef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de50d04ece72f7bdc260147b12a915fbab3803fb10d91dd1bbd6bf9e8855eac9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2025-07-06T11:43:14Z",
    "title_canon_sha256": "5156c081f96924f6a81b29d2a2312cdf25276eb72beb3b24b8f170f5b4c8e129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04358",
    "kind": "arxiv",
    "version": 1
  }
}