Pith Number

pith:QR2OY7NS

pith:2011:QR2OY7NST4WTZYWBKBKI33YQ3B

not attested not anchored not stored refs pending

A first-order differential double subordination with applications

Nak Eun Cho, Oh Sang Kwon, Rosihan M. Ali, V. Ravichandran

arxiv:1108.4088 v1 · 2011-08-20 · 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{QR2OY7NST4WTZYWBKBKI33YQ3B}

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	2026-05-18T04:05:38.403408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8474ec7db29f2d3ce2c150548def10d85af6080bae6f136b4deea05c25776ae5

Aliases

arxiv: 1108.4088 · arxiv_version: 1108.4088v1 · doi: 10.48550/arxiv.1108.4088 · pith_short_12: QR2OY7NST4WT · pith_short_16: QR2OY7NST4WTZYWB · pith_short_8: QR2OY7NS

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/QR2OY7NST4WTZYWBKBKI33YQ3B \
  | 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: 8474ec7db29f2d3ce2c150548def10d85af6080bae6f136b4deea05c25776ae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fc12458b55f00e4cc477e6eb9e302973b2adfb4635bf3d97b9f2494d4ef78f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-08-20T04:08:41Z",
    "title_canon_sha256": "20db8ad130ac172c696bf9c8ea0d175649a3c5e4ba593850ad540992cfc3b0f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4088",
    "kind": "arxiv",
    "version": 1
  }
}