pith. sign in
Pith Number

pith:UO3TKXLP

pith:2016:UO3TKXLPFZMGDNHN6EXULB24GZ
not attested not anchored not stored refs pending

Angles in normed spaces

\'Akos G.Horv\'ath, Horst Martini, Ralph Teixeira, Vitor Balestro

arxiv:1607.06938 v1 · 2016-07-23 · math.MG · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UO3TKXLPFZMGDNHN6EXULB24GZ}

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 2026-05-18T01:10:35.386708Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a3b7355d6f2e5861b4edf12f45875c364a5d1c83d415a90d32a6c1ad381e9def

Aliases

arxiv: 1607.06938 · arxiv_version: 1607.06938v1 · doi: 10.48550/arxiv.1607.06938 · pith_short_12: UO3TKXLPFZMG · pith_short_16: UO3TKXLPFZMGDNHN · pith_short_8: UO3TKXLP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UO3TKXLPFZMGDNHN6EXULB24GZ \
  | 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: a3b7355d6f2e5861b4edf12f45875c364a5d1c83d415a90d32a6c1ad381e9def
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1a4dc66b5f64e6413d34d5b454466511c0c539b5bf064adc5d2f449d0cc6d4c8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-07-23T13:55:52Z",
    "title_canon_sha256": "0d413e9ebcbc9a0fa7ee551922fc99f448848d1a15ca5594f2759da1b45c525b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06938",
    "kind": "arxiv",
    "version": 1
  }
}