Pith Number

pith:PQMC4OHC

pith:2016:PQMC4OHCSJPHDVGZOMXR4H34AL

not attested not anchored not stored refs pending

The Sphere Covering Inequality and Its Applications

Amir Moradifam, Changfeng Gui

arxiv:1605.06481 v3 · 2016-05-20 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQMC4OHCSJPHDVGZOMXR4H34AL}

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	2026-05-18T01:01:08.477832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c182e38e2925e71d4d9732f1e1f7c02eb94fbf0d2a29f9e20d3cd0d627a93c5

Aliases

arxiv: 1605.06481 · arxiv_version: 1605.06481v3 · doi: 10.48550/arxiv.1605.06481 · pith_short_12: PQMC4OHCSJPH · pith_short_16: PQMC4OHCSJPHDVGZ · pith_short_8: PQMC4OHC

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/PQMC4OHCSJPHDVGZOMXR4H34AL \
  | 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: 7c182e38e2925e71d4d9732f1e1f7c02eb94fbf0d2a29f9e20d3cd0d627a93c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c700245c0c2a866eea9fe9dc0f392d1832ea5aac679a1e2372de0016cafc9630",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-20T19:35:19Z",
    "title_canon_sha256": "420452e898912239d8f54f607c058151532ec05463f62be6bf978756d4a03fe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06481",
    "kind": "arxiv",
    "version": 3
  }
}