Pith Number

pith:QDSN3GJ6

pith:2016:QDSN3GJ6TRW2EIDM7TSVWQAEBL

not attested not anchored not stored refs pending

How do difference bodies in complex vector spaces look like? A geometrical approach

Eugenia Saor\'in G\'omez, Judit Abardia

arxiv:1602.00960 v1 · 2016-02-02 · 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{QDSN3GJ6TRW2EIDM7TSVWQAEBL}

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	2026-05-18T01:21:24.156098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80e4dd993e9c6da2206cfce55b40040ae2848bf5387e56cab54ff5848a2595dc

Aliases

arxiv: 1602.00960 · arxiv_version: 1602.00960v1 · doi: 10.48550/arxiv.1602.00960 · pith_short_12: QDSN3GJ6TRW2 · pith_short_16: QDSN3GJ6TRW2EIDM · pith_short_8: QDSN3GJ6

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/QDSN3GJ6TRW2EIDM7TSVWQAEBL \
  | 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: 80e4dd993e9c6da2206cfce55b40040ae2848bf5387e56cab54ff5848a2595dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ae54edbcb4f37122d2f13dafe2a8e2156ce0a3192b65c84083ee038e8a3d996",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-02-02T15:04:06Z",
    "title_canon_sha256": "cf16d9e9d645dbb5f3ed43ae9ff738d5139bf745052b062a30c4d018d98f0e70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00960",
    "kind": "arxiv",
    "version": 1
  }
}