Pith Number

pith:QX4SSJW4

pith:2018:QX4SSJW4KD4JNZFMIUGP5P73ME

not attested not anchored not stored refs pending

An operator inequality for range projections

Soumyashant Nayak

arxiv:1804.09683 v2 · 2018-04-25 · math.OA · 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{QX4SSJW4KD4JNZFMIUGP5P73ME}

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	2026-05-18T00:13:04.180336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f92926dc50f896e4ac450cfebffb610aa6dd0e12f896db5a2870ce7f37c686

Aliases

arxiv: 1804.09683 · arxiv_version: 1804.09683v2 · doi: 10.48550/arxiv.1804.09683 · pith_short_12: QX4SSJW4KD4J · pith_short_16: QX4SSJW4KD4JNZFM · pith_short_8: QX4SSJW4

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/QX4SSJW4KD4JNZFMIUGP5P73ME \
  | 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: 85f92926dc50f896e4ac450cfebffb610aa6dd0e12f896db5a2870ce7f37c686

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aad820f7b8412630d99de15e9831633e9f0050ad33d1fa70a93da425074428b0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-04-25T17:22:53Z",
    "title_canon_sha256": "64ee8f44a8f0097d55ae7f6a6742199691bf9183b836d1d5ae00199d32ce0469"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.09683",
    "kind": "arxiv",
    "version": 2
  }
}