Pith Number

pith:H4OZBX4W

pith:2019:H4OZBX4WYSAZBTS762KS7YEPF7

not attested not anchored not stored refs pending

Minimal curves in U(n) and Gl(n)+ with respect to the spectral and the trace norms

Demetrio Stojanoff, Eduardo Ghiglioni, Jorge Antezana

arxiv:1907.03368 v1 · 2019-07-07 · math.FA · math.AG · 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{H4OZBX4WYSAZBTS762KS7YEPF7}

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	2026-05-17T23:41:16.422368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f1d90df96c48190ce5ff6952fe08f2ff4d5abae43a6923580f7fcc5ed206f2e

Aliases

arxiv: 1907.03368 · arxiv_version: 1907.03368v1 · doi: 10.48550/arxiv.1907.03368 · pith_short_12: H4OZBX4WYSAZ · pith_short_16: H4OZBX4WYSAZBTS7 · pith_short_8: H4OZBX4W

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/H4OZBX4WYSAZBTS762KS7YEPF7 \
  | 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: 3f1d90df96c48190ce5ff6952fe08f2ff4d5abae43a6923580f7fcc5ed206f2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f7f54b4ed83223f82db258e8bc3625ca84c8d318ded738ac3ed32ea8f46150f",
    "cross_cats_sorted": [
      "math.AG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-07T23:47:26Z",
    "title_canon_sha256": "2871b617914967e23bcb1ce8444cb4eb65290148ff93c456b08bae44654135ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03368",
    "kind": "arxiv",
    "version": 1
  }
}