Pith Number

pith:U7Q7JTVG

pith:2019:U7Q7JTVGYOLERPFRQ5YLUENVKQ

not attested not anchored not stored refs pending

On a degeneracy ratio for bounded convex polytopes

Han Cheng Lie, Nada Cvetkovi\'c

arxiv:1907.06085 v1 · 2019-07-13 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7Q7JTVGYOLERPFRQ5YLUENVKQ}

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	2026-05-17T23:40:42.462176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7e1f4cea6c39648bcb18770ba11b554141cc79c8bcbe7564eda6f4c96792d99

Aliases

arxiv: 1907.06085 · arxiv_version: 1907.06085v1 · doi: 10.48550/arxiv.1907.06085 · pith_short_12: U7Q7JTVGYOLE · pith_short_16: U7Q7JTVGYOLERPFR · pith_short_8: U7Q7JTVG

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/U7Q7JTVGYOLERPFRQ5YLUENVKQ \
  | 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: a7e1f4cea6c39648bcb18770ba11b554141cc79c8bcbe7564eda6f4c96792d99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca807f0d14c6da235fa6c295185622d241a8898b96baa9f940dbb3e98f5f5198",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-13T14:32:04Z",
    "title_canon_sha256": "b774cde9d075f2e2cfc2c9d3ec593984e96252f437fa8d14c7d06e74e0ac755a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06085",
    "kind": "arxiv",
    "version": 1
  }
}