Pith Number

pith:JSVSKYP3

pith:2019:JSVSKYP34LVEMI6RJ3RF42ATHW

not attested not anchored not stored refs pending

The angle along a curve and range-kernel complementarity

Dimosthenis Drivaliaris, Nikos Yannakakis

arxiv:1908.03555 v1 · 2019-08-09 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSVSKYP34LVEMI6RJ3RF42ATHW}

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	2026-07-04T23:52:40.872603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cab2561fbe2ea4623d14ee25e68133d8e14029c020d2608dbc13fa78cea90b3

Aliases

arxiv: 1908.03555 · arxiv_version: 1908.03555v1 · doi: 10.48550/arxiv.1908.03555 · pith_short_12: JSVSKYP34LVE · pith_short_16: JSVSKYP34LVEMI6R · pith_short_8: JSVSKYP3

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/JSVSKYP34LVEMI6RJ3RF42ATHW \
  | 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: 4cab2561fbe2ea4623d14ee25e68133d8e14029c020d2608dbc13fa78cea90b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b66fe7706648a2988f135123b22f894e8a0c1244b1645a7a695378df8e73fed",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-09T17:53:17Z",
    "title_canon_sha256": "b0ea952f74249abd1f47726c3054aa44a57d8eaf920fe552da48fd404c3b467c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03555",
    "kind": "arxiv",
    "version": 1
  }
}