pith. sign in
Pith Number

pith:HCA53X53

pith:2016:HCA53X53K4VWJKC33R7MZX5RIK
not attested not anchored not stored refs pending

Norms of vector functionals

I. G. Todorov, M. Anoussis, N. Ozawa

arxiv:1610.00111 v2 · 2016-10-01 · math.OA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HCA53X53K4VWJKC33R7MZX5RIK}

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 2026-05-17T23:56:30.412675Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3881dddfbb572b64a85bdc7eccdfb142bc7e1da16a13915e7453daeee9e4d468

Aliases

arxiv: 1610.00111 · arxiv_version: 1610.00111v2 · doi: 10.48550/arxiv.1610.00111 · pith_short_12: HCA53X53K4VW · pith_short_16: HCA53X53K4VWJKC3 · pith_short_8: HCA53X53
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HCA53X53K4VWJKC33R7MZX5RIK \
  | 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: 3881dddfbb572b64a85bdc7eccdfb142bc7e1da16a13915e7453daeee9e4d468
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "03d249c9db375da7ebb712836e9442b00f688e4792dfbdec6d9361376e127467",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-10-01T09:54:27Z",
    "title_canon_sha256": "e03d373af7598e8bdf62707ab85b8d627005db2b3000d3f284dcc45055c6d58a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00111",
    "kind": "arxiv",
    "version": 2
  }
}