Pith Number

pith:O62UQWO2

pith:2016:O62UQWO2PJEFL2S6OOLR4S56MG

not attested not anchored not stored refs pending

Monge points, Euler lines, and Feuerbach spheres in Minkowski spaces

Horst Martini, Undine Leopold

arxiv:1602.06144 v1 · 2016-02-19 · 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{O62UQWO2PJEFL2S6OOLR4S56MG}

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	2026-05-18T01:20:18.516806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77b54859da7a4855ea5e73971e4bbe6193f8fefc7d7d1b41cd4ce8244c39d0ae

Aliases

arxiv: 1602.06144 · arxiv_version: 1602.06144v1 · doi: 10.48550/arxiv.1602.06144 · pith_short_12: O62UQWO2PJEF · pith_short_16: O62UQWO2PJEFL2S6 · pith_short_8: O62UQWO2

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/O62UQWO2PJEFL2S6OOLR4S56MG \
  | 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: 77b54859da7a4855ea5e73971e4bbe6193f8fefc7d7d1b41cd4ce8244c39d0ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de699861b066dc318bc87b4d13503d692edb901a33a5edf63e0ecde094c0bcea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-02-19T13:28:57Z",
    "title_canon_sha256": "ed711b43c555edac7f5909aefbc08f289779a9d0878cacedb6897a6dff2e8025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06144",
    "kind": "arxiv",
    "version": 1
  }
}