Pith Number

pith:ECZM552H

pith:2012:ECZM552HDTMWV4YJIE7ADDTBBA

not attested not anchored not stored refs pending

Applications of Theory of Differential Subordination for Functions with Fixed Initial Coefficient to Univalent Functions

Sumit Nagpal, V. Ravichandran

arxiv:1208.0148 v1 · 2012-08-01 · 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{ECZM552HDTMWV4YJIE7ADDTBBA}

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	2026-05-18T03:49:36.158607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20b2cef7471cd96af309413e018e6108067b991f90a8296b3450934f688ef350

Aliases

arxiv: 1208.0148 · arxiv_version: 1208.0148v1 · doi: 10.48550/arxiv.1208.0148 · pith_short_12: ECZM552HDTMW · pith_short_16: ECZM552HDTMWV4YJ · pith_short_8: ECZM552H

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/ECZM552HDTMWV4YJIE7ADDTBBA \
  | 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: 20b2cef7471cd96af309413e018e6108067b991f90a8296b3450934f688ef350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b8bea878ba95d53b1b758a7ad7c89a4163002725271f54be4b4da8c5aa81840",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-08-01T09:26:16Z",
    "title_canon_sha256": "53a0f7e7bcf92804f1fc6640cc670de4aab8df5961f85ed53a54d0d2c2bdc016"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0148",
    "kind": "arxiv",
    "version": 1
  }
}