Pith Number

pith:GE622RQM

pith:2015:GE622RQM3NC5I7VZJJXEQLXBMC

not attested not anchored not stored refs pending

The Generalization of Schottky Inequality and Its Applications

Junyi Hu, Shiyu Chen

arxiv:1509.01915 v1 · 2015-09-07 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GE622RQM3NC5I7VZJJXEQLXBMC}

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	2026-05-18T01:33:50.183005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

313dad460cdb45d47eb94a6e482ee1609f53c08411d25b19259250e1a9e2cc73

Aliases

arxiv: 1509.01915 · arxiv_version: 1509.01915v1 · doi: 10.48550/arxiv.1509.01915 · pith_short_12: GE622RQM3NC5 · pith_short_16: GE622RQM3NC5I7VZ · pith_short_8: GE622RQM

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/GE622RQM3NC5I7VZJJXEQLXBMC \
  | 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: 313dad460cdb45d47eb94a6e482ee1609f53c08411d25b19259250e1a9e2cc73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e67309da5fa4c7257244261ac9180a6279d2a70f7fa16f15bf16465060881a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-09-07T06:26:30Z",
    "title_canon_sha256": "3d56318f0b8c3d0f55ed372687021a06783565e8c6dfe3fe2591bbfb8943ca9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01915",
    "kind": "arxiv",
    "version": 1
  }
}