Pith Number

pith:WCBLZHCG

pith:2016:WCBLZHCGWWTV45T6FK2W4BFM33

not attested not anchored not stored refs pending

Remarks on Xiao's approach of Slope inequalities

Hao Sun, Mingshuo Zhou, Xiaotao Sun

arxiv:1608.03406 v1 · 2016-08-11 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCBLZHCGWWTV45T6FK2W4BFM33}

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	2026-05-18T01:09:28.984008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b082bc9c46b5a75e767e2ab56e04acdedc0b30f813c954ad75f5e3f49ea2dda0

Aliases

arxiv: 1608.03406 · arxiv_version: 1608.03406v1 · doi: 10.48550/arxiv.1608.03406 · pith_short_12: WCBLZHCGWWTV · pith_short_16: WCBLZHCGWWTV45T6 · pith_short_8: WCBLZHCG

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/WCBLZHCGWWTV45T6FK2W4BFM33 \
  | 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: b082bc9c46b5a75e767e2ab56e04acdedc0b30f813c954ad75f5e3f49ea2dda0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e707ec3ed410d5bfa95580037c38c09d39961c0f87e6f940656222e3344b872",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-11T09:29:19Z",
    "title_canon_sha256": "152032460a8cf69b028882b40d06672dd6c30828cbfc264a41613e8e1e014966"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03406",
    "kind": "arxiv",
    "version": 1
  }
}