Pith Number

pith:H7U7AJR4

pith:2018:H7U7AJR4ZMFHFZ7JMH4UA33X4B

not attested not anchored not stored refs pending

A note on convexity of sections of quaternionic numerical range

P. Santhosh Kumar

arxiv:1811.04585 v1 · 2018-11-12 · 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{H7U7AJR4ZMFHFZ7JMH4UA33X4B}

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	2026-05-17T23:49:40.551283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fe9f0263ccb0a72e7e961f9406f77e058dd4a9556529f514aac28db889deebe

Aliases

arxiv: 1811.04585 · arxiv_version: 1811.04585v1 · doi: 10.48550/arxiv.1811.04585 · pith_short_12: H7U7AJR4ZMFH · pith_short_16: H7U7AJR4ZMFHFZ7J · pith_short_8: H7U7AJR4

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/H7U7AJR4ZMFHFZ7JMH4UA33X4B \
  | 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: 3fe9f0263ccb0a72e7e961f9406f77e058dd4a9556529f514aac28db889deebe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3b112a67a402a969a14fe8d8089be6b065f6de9e1c7c70f642d510a7fe2e7c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-12T06:54:39Z",
    "title_canon_sha256": "fdd1a8d182a830f75116fb1271651cc84b062d84a0b328f08cb0c32bbda4cabc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04585",
    "kind": "arxiv",
    "version": 1
  }
}