Pith Number

pith:TWSI4UCF

pith:2017:TWSI4UCFQLYEF6HS6W762QT6OS

not attested not anchored not stored refs pending

A formula for the $g$-angle between two subspaces of a normed space

Hendra Gunawan, Muhammad Nur, Oki Neswan

arxiv:1707.04414 v2 · 2017-07-14 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWSI4UCFQLYEF6HS6W762QT6OS}

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	2026-05-18T00:23:08.711948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9da48e504582f042f8f2f5bfed427e74a833c3e5ff1724d08f5b9b07f28a3ee9

Aliases

arxiv: 1707.04414 · arxiv_version: 1707.04414v2 · doi: 10.48550/arxiv.1707.04414 · pith_short_12: TWSI4UCFQLYE · pith_short_16: TWSI4UCFQLYEF6HS · pith_short_8: TWSI4UCF

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/TWSI4UCFQLYEF6HS6W762QT6OS \
  | 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: 9da48e504582f042f8f2f5bfed427e74a833c3e5ff1724d08f5b9b07f28a3ee9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94a4ed6e5d4dd0ff2943d94e021d612e1a5ad9d081434e159808044aa0275881",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-14T08:38:08Z",
    "title_canon_sha256": "52df80a7673e5993380a81ff50416f29ec07d5623e8e385177d149915e867f89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04414",
    "kind": "arxiv",
    "version": 2
  }
}