Pith Number

pith:HSICRDU4

pith:2013:HSICRDU4VBV3NZCEY5UFD7ZFZN

not attested not anchored not stored refs pending

Sharp Constants for Inequalities of Poincar\'e Type: An Application of Optimal Control Theory

Hongwei Lou

arxiv:1307.1423 v1 · 2013-07-04 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSICRDU4VBV3NZCEY5UFD7ZFZN}

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	2026-05-18T03:19:13.725221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c90288e9ca86bb6e444c76851ff25cb64575b50f16068e67be7e111eaa77f5a

Aliases

arxiv: 1307.1423 · arxiv_version: 1307.1423v1 · doi: 10.48550/arxiv.1307.1423 · pith_short_12: HSICRDU4VBV3 · pith_short_16: HSICRDU4VBV3NZCE · pith_short_8: HSICRDU4

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/HSICRDU4VBV3NZCEY5UFD7ZFZN \
  | 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: 3c90288e9ca86bb6e444c76851ff25cb64575b50f16068e67be7e111eaa77f5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d3e96ba31de70f61ac04003a0f5be1d4ce945284f191edd64424df78570cbb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-04T17:44:56Z",
    "title_canon_sha256": "002eb368844a29fefac7e1837376c20725a904b8c9339416cd7c3c28f9977e8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1423",
    "kind": "arxiv",
    "version": 1
  }
}